Question

two suplementary angles differ by 20 degree. the measure of smaller angle will be-

Answer 1

Let the measure of bigger angle be X
and the measure of smaller angle be
From given condition
x-y =20 ......(1)
Measure of supplementary angles=180 degrees
x+y=180 ......(2)
adding equation 1 and 2
x-y=20
+
x+y=180
2x=200
x=100
put x=100 in 1
100-y=20
y=100-20
y=80 degrees


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