Question

Find the angle a b and c​

Answer 1

Answer:

Angle BAC = 60°

Angle ABC = 52°

Angle ACB = 68°.

Explanation:

1) Angle BAC + Angle BAE = 180 (Angles in a linear pair )

Therefore,

Angle BAC + 120° = 180 °

Angle BAC = 180 - 120 = 60

Therefore,

Angle BAC = 60°

2) Angle ACB + Angle ACD = 180 (Angles in a linear pair )

Therefore,

Angle ACB + 112° = 180°

Angle ACB = 180 - 112 = 68°

Therefore,

Angle ACB = 68°

3) Angle ACB + Angle BAC + Angle ABC = 180 (Angle sum property of a triangle)

Therefore,

68° + 60° + Angle ABC = 180°

128 + Angle ABC = 180

Angle ABC = 180 - 128 = 52

Therefore,

Angle ABC = 52°

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