The difference between the measures of the two angles of a complementary pair is 40 degree. Find the measures of the two angles


Let the angles be x,y.

We know that x+y = 90 (complementary angles)..................1
Given: x-y = 40 degree............2

Add 1 and 2 =>

2x = 130

x = 65

Substitute x in 1
y = 90-65 = 25

The measures of the angles are 65 and 25 degrees.


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Updated on: 10-Oct-2022

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