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
⇒ 2x = 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 = 2x
⇒ 120 = 2x
⇒ x = 60
The correct option is (a) 60°
(4) Let the two angles be 4x and 5x respectively.
Now, 4x + 5x = 180°
⇒ 9x = 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° – 2x
⇒ 3x = 360°
⇒ x = 120°
Hence, the correct option is (c) 120°