GEOMETRY 2

If x-15⁰ and 4x + 35⁰ are complementary angles, find the value of x.

Solution

Complementary angles add up to 90⁰.

so,  x-15⁰ + 4x + 35⁰ = 90⁰.

so,  x + 4x + 35⁰ - 15⁰ = 90⁰.

so,  5x + 15⁰ = 90⁰.

so,  5x = 90⁰ -  15⁰

so,  5x = 75⁰

so,  5x = 75¹⁵

       5       5

Hence x = 15⁰

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

If 3x - 18⁰ and 2x + 43⁰ are complementary angles, find the value of x.