FIND x FROM GIVEN FIGURE.
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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
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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°
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