Question

FIND x FROM GIVEN FIGURE.

Answer 1

Answer: x =156

Step-by-step explanation:

exterior angle =sum of two interior opposite angle

∠c= exterior angle of abc

∠c= 63+51=114

∠x=exterior angle of xcd

∠x= 114+42=156

Answer 2

ANSWER:

• The value of x = 156°.

TO FIND:

• The value of x.

EXPLANATION:

Consider the ∆ABC

Sum of three angles of a triangle = 180°.

•°• 63° + 51° + P = 180°

•°• 114° + P = 180°

•°• P = 180° - 114°

•°• P = 66°

Sum of adjacent angles = 180°.

•°• P + Q = 180°

Substitute P = 66°.

•°• 66° + Q = 180°

•°• Q = 180° - 66°

•°• Q = 114°

Consider the ∆CDE

Sum of three angles of a triangle = 180°.

°•° 42° + Q + R = 180°

Substitute Q = 114°.

°•° 42° + 114° + R = 180°

°•° 156° + R = 180°

°•° R = 180° - 156°

°•° R = 24°

Sum of adjacent angles = 180°.

°•° R + x = 180°

Substitute R = 24°.

°•° 24° + x = 180°

°•° x = 180° - 24°

°•° x = 156°

Hence the value of x = 156°