Check the underneath NCERT Class 9 Maths MCQ Questions of Lines and Angles with Answers. MCQ Questions for class 9 with Answers were arranged to upheld the forthcomings exam pattern. we’ve given MCQ Questions with Answers to help understudies to comprehend the concepts.
Students additionally can ask MCQ Questions for Class 9 Maths Lines and Angles for better exam preparations and score more marks.
The following are the MCQ Questions for Class 9 Maths Each question has four alternatives, among which one is that the right answer. Cross-check along with your answers with the one gave here.
Practice MCQ Questions for Class 9 Maths
1. In a right-angled triangle where angle A = 90° and AB = AC. What are the values of angle B?
(a) 45°
(b) 35°
(c) 75°
(d) 65°
2. Given four points such that no three of them are collinear, then the number of lines that can be drawn through them are:
(a) 4 lines
(b) 8 lines
(c) 6 lines
(d) 2 lines
3. Intersecting lines cut each other at:
(a) One point
(b) Two points
(c) Three points
(d) Null
4. Two parallel lines intersect at:
(a) One point
(b) Two points
(c) Three points
(d) Null
5. If two lines intersect each other, then the vertically opposite angles are:
(a) Equal
(b) Unequal
(c) Cannot be determined
(d) None of the above
6. A line joining two endpoints are called:
(a) Line segment
(b) A ray
(c) Parallel lines
(d) Intersecting lines
7. If one of the angles of a triangle is 130°, then the angle between the bisectors of the other two angles can be
(a) 50°
(b) 65°
(c) 145°
(d) 155°
8. An acute angle is:
(a) More than 90 degrees
(b) Less than 90 degrees
(c) Equal to 90 degrees
(d) Equal to 180 degrees
9. A reflex angle is:
(a) More than 90 degrees
(b) Equal to 90 degrees
(c) More than 180 degrees
(d) Equal to 180 degrees
10. If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
(a) a right triangle
(b) an isosceles triangle
(c) an equilateral triangle
(d) an obtuse triangle
11. A straight angle is equal to:
(a) 0°
(b) 90°
(c) 180°
(d) 360°
12. Two angles whose sum is equal to 180° are called:
(a) Vertically opposite angles
(b) Complementary angles
(c) Adjacent angles
(d) Supplementary angles
13. The angles of a triangle are in the ratio 5 : 3: 7. The triangle is
(a) a right triangle
(b) an acute-angled triangle
(c) an obtuse-angled triangle
(d) an isosceles triangle
14. Angles of a triangle are in the ratio 2: 4 : 3. The smallest angle of the triangle is
(a) 20°
(b) 40°
(c) 60°
(d) 80°
15. An obtuse angle is
(a) Less than 90°
(b) Greater than 90°
(c) Equal to 90°
(d) Equal to 180°
16. How many degrees are there in an angle which equals one-fifth of its supplement?
(a) 15°
(b) 30°
(c) 75°
(d) 150°
17. Sum of the measure of an angle and its vertically opposite angle is always.
(a) Zero
(b) Thrice the measure of the original angle
(c) Double the measure of the original angle
(d) Equal to the measure of the original angle
18. The angle between the bisectors of two adjacent supplementary angles is :
(a) Acute angle
(b) Right angle
(c) Obtuse angle
(d) None of these
19. Which of the following statements is false?
(a) A line can be produced to any desired length.
(b) Through a given point, only one straight line can be drawn.
(c) Through two given points, it is possible to draw one and only one straight line
(d) Two straight lines can intersect in only one point
20. An angle is 14° more than its complementary angle, then angle is :
(a) 38°
(b) 52°
(c) 50°
(d) None of these
Answer
1. Answer: (a) 45°
2. Answer: (c) 6 lines
3. Answer: (a) One point
Explanation: Two lines always intersect each other at one point.
4. Answer: (d) Null
Explanation: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.
5. Answer: (a) Equal
Explanation: If two lines intersect each other, then the angles formed at the point of intersection are vertically equal.
6. Answer: (a) Line segment
7. Answer: (d) 155°
Explanation: Assume a triangle ABC, such that ∠BAC=130°
Also, the bisectors of ∠B and ∠C meet at O.
To find: ∠BOC
In a triangle △ABC,
∠BAC+∠ABC+∠ACB=180°
By using the angle sum property of the triangle,
130°+∠ABC+∠ACB=180°
∠ABC+∠ACB=50°
1/2 (∠ABC+∠ACB)=25°
Since OB and OC bisect ∠ABC and ∠ACB
∠OBC+ ∠OCB=25°
Now, consider △OBC,
∠OBC+ ∠OCB+∠BOC=180°
25°+∠BOC=180°
∠BOC=155°
8. Answer: (b) Less than 90 degrees
9. Answer: (c) More than 180 degrees
10. Answer: (a) a right triangle
Explanation: If one angle of a triangle is equal to the sum of the other two angles, then the triangle is a right triangle. We know that the sum of interior angles of a triangle is equal to 180°. In the right triangle, one angle should be equal to 90°, and the remaining two angles are acute angles, and their sum is equal to 90°.
11. Answer: (c) 180°
12. Answer: (d) Supplementary angles
13. Answer: (b) an acute-angled triangle
Explanation: If the angles are in the ratio of 5:3:7, then a triangle is an acute angle triangle.
We know that the sum of the interior angles of a triangle is 180°
Therefore, 5x+3x+7x = 180°
15x = 180°
x = 180°/15 = 12°
Thus, 5x = 5(12°) =60°
3x = 3(12°) =36°
7x = 7(12°) =84°
Since all the angles are less than 90°, the triangle is an acute angle triangle.
14. Answer: (b) 40°
Explanation: We know that the sum of the interior angles of a triangle is 180°
Given that, the angles of a triangle are in the ratio of 2:4:3
Hence, 2x+4x+3x = 180°
9x = 180°
x= 20°
Therefore,
2x = 2(20) = 40°
4x = 4(20) = 80°
3x = 3(20) = 60°
Hence, the angles are 40°, 80° and 60°.
Therefore, the smallest angle of a triangle is 40°.
15. Answer: (b) Greater than 90°
Explanation: An obtuse angle is an angle that is greater than 90°
16. Answer: (b) 30°
Explanation: Let the angle in degrees be x. Then, its supplement =(180°−x)
Given, x= 1/5(180°−x)
⇒ 5x=180° −x ⇒ 6x=180°
⇒ x=30°
17. Answer: (c) Double the measure of the original angle
18. Answer: (b) Right angle
19. Answer: (b) Through a given point, only one straight line can be drawn.
20. Answer: (b) 52°
Explanation: Two angle whose sum is 90° are called complementary angels
Let one angle be =x
It’s complementary angles +x+14
x+x+14=90
2x=90−14
2x=76
x= 76/2
x=38
One angle is 38
Second angle =x+14
=38+14
= 52