If the angles (2x − 10)° and (x − 5)° are complementary, find x?

Question:

If the angles (2x − 10)° and (x − 5)° are complementary, find x?

Solution:

Given that (2x − 10)° and (x − 5)° are complementary

Since angles are complementary, their sum will be 90

(2x - 10) + (x - 5) = 90

3x -15 = 90

3x = 90 + 15

3x = 105

x = 105/3

x = 35

Hence, the value of x = (35)°

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