Question

(x+40) and (3 x-20) are a pair of supplementary angles find the following values: x=, the smaller angle and the greater angle

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

x=40, Smaller angle=80°, Greater angle= 100°

Step-by-step explanation:

Two angles are said to be supplementary when their sum equals 180°.

According to the question,

(x+40) + (3x-20) =180°

x+3x+40-20=180° {variables one side and constants another side}

4x+20=180°

4x=180-20

4x=160°

x=160°÷4

x=40°

Other angles = 1) x+40=40+40=80° {As x=40}

2) 3x-20=3×40-20=120-20=100°

As 40°< 120°

Therefore, Smaller angle = 40°

Greater angle= 100°