ANGLES 2

If x-22⁰ and 4x + 67⁰ are complementary angles, find the value of x.

Solution

Complementary angles add up to 90⁰.

so,  x-22⁰ + 4x + 67⁰ = 90⁰.

so,  x + 4x + 67⁰ - 22⁰ = 90⁰.

so,  5x + 45⁰ = 90⁰.

so,  5x = 90⁰ -  45⁰

so,  5x = 45⁰

so,  5x = 45⁹

      5       5

Hence x = 9⁰

TRY THIS...............

If x - 33⁰ and 2x - 75⁰ are complementary angles, find the value of x.