If an angle differs from its complement by (10)°, find the angle ?

Question:

If an angle differs from its complement by (10)°, find the angle ?

Solution:

Let the measured angle be 'x' say

Given that,

The angles measured will differ by (20)°

x - (90 - x) = 10

x - 90 + x = 10

2x = 90 + 10

2x = 100

x = 100/2

x = 50

Therefore the measure of the angle is (50)°

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