Question

In the given figure AB and AC are opposite rays. If y = 28, find x.​

Answer 1

Here, angle BAC = 180° [straight line]

angle BAD + DAC = 180° [linear pair]

(3y+11)°+ (2x)° = 180°

(3×28+11)° + (2x)° = 180°

95° + (2x)° = 180°

2x = 180 - 95

2x = 85°

x = 85/2

x = 42.5°

Thus, the value of x is 42.5°.