Question

12. From the adjecent figure the value of x is 30º. Justify ?


class : 9th ​

Answer 1

Answer:

Verification mention below

Step-by-step explanation:

When two lines intersect, a linear pair of angles is generated. If two intersecting lines form nearby angles, the angles are said to be linear. A straight angle has a measurement of 180 degrees, hence a linear pair of angles must add up to 180 degrees.

∠POR + ∠ROS + ∠SOQ = 180°

3x + 20 + 2x - 20 + x = 180°

3x + 2x + x + 20 - 20 = 180°

(3 + 2 + 1)x = 180°

6x = 180

x = 180/6

x = 30