Question

find the measure of angle X in each of the following figures ​

Answer 1

Answer:

1. 180 - 66 = x = 114 degree

2. 180 - 65 - 55 = x = 60 degree

Explanation:

It is by Linear pair axiom.

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Answer 2

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a). Given :-

AOB = x

AOC = 66°

Solution :-

AOB + AOC = 180° ( L.P ) (Linear pair)

x + 66° = 180°

x = 180° - 66°

x = 114°

Hence , AOB = 114°

b). Solution :-

55° + x + 65° = 180°

120° + x = 180°

x = 180°- 120°

x = 60°