MCQ Questions:-

1. One of the angles of a triangle is 75 degree. the difference of other two angles is 35 degree. then the largest angle of the triangle is ______.

a. 80. b. 75. c. 100. d. 135.

2. exterior angle of a triangle is 120 and the two triangle interior opposite angles are equal. Each of these angles is ______.

a. 60 b. 100 c. 120 d.180

3. two lines are respectively perpendicular to two sides perpendicular lines. then there are two lines are each other are ________.

a. parellel b. perpendicular c. inclined at acute angle d. intersect at 110 degree.

4. two supplemenatry angle are in ratio is 4:5. then the angles are _______

a. 90, 90 b. 80, 100 c. 30,50 d. 45,45.

5. in the figure angle POR = 3x and angle QOR = 2x + 10. the value of x for which POR is a straight line is ______.

a. 34, b. 24. c. 0. d. 10.

6. the compliment of CM is _____.

a. M b. 90 degree + M c. 90 degree minus M d. M x 90 degree.

7. in the figure, if M parellel to N, angle A : angle B = 2:3, then the measure of angle H is ______.

a. 72 degree b. 108 degree c. 120 degree d. 150 degree

8. two complimentary angles are in the ratio 1:5. then the measure of the angle is ______

a. 15, 75 b. 75, 15 c. 12, 60 d. 60,12.

9. in a right angled triangle, the two acute angle are in the ratio 4:5. then the acute angles are _____.

a. 50,40 b. 40,50 c. 45,55 d.30,60

10. if the measure of an angle is twice the measure of it's supplementary angle, then the measure of an angle is _____

a. 60 b. 90 c.120 d.130

Dear Student!

(1) Let one of the angles of the triangle be *x* and the other one be by *y*.

Also let ∠*z* = 75°

Now, *x* – *y* = 35

⇒ *y* = *x* – 35

Also, *x* + *y* + *z* = 180

⇒ *x* + *x* – 35 = 75 = 180

⇒ 2*x* = 180 + 35 – 75

⇒ *x* = 70°

Thus, *z* = 75° is the largest angle of the triangle

The correct option is (b) 75°

(2) The exterior angle is equal to the sum of two opposite interior angles.

Let the two opposite interior angles be *x* each

Now, Exterior angle = *x* + *x* = 2*x*

⇒ 120 = 2*x*

⇒ *x* = 60

The correct option is (a) 60°

(4) Let the two angles be 4*x* and 5*x* respectively.

Now, 4*x* + 5*x* = 180°

⇒ 9*x* = 180°

⇒ *x* = 20°

Hence, the required angles are 80° and 100° respectively

Thus, the correct option is (b) 80°, 100°

(10) Let one of the angles be *x*

Supplementary angle of *x* = 180° – *x*

Now, *x* = 2 (180° – *x*)

⇒ *x* = 360° – 2*x*

⇒ 3*x* = 360°

⇒ *x* = 120°

Hence, the correct option is (c) 120°

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