The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.
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Step-by-step explanation:
Let smaller angle = x and let larger angle = y
According to given conditions, we have
y = x + 18 … (1)
Also, x + y = 180 (Sum of supplementary angles) … (2)
Putting (1) in equation (2), we get
x + x + 18 = 180
⇒ 2x = 180 – 18 = 162
⇒ x = 81°
Putting value of x in equation (1), we get
y = x + 18 = 81 + 18 = 99°
Therefore, two angles are 81° and 99°
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