GEOMETRY 4

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

solution

Complementary angles add up to 90⁰.

so,  x-15⁰ + x + 35⁰ = 90⁰.

 x + x + 35⁰ - 15⁰ = 90⁰.

 2x + 20⁰ = 90⁰.

  2x = 90⁰ -  20⁰

  2x = 70⁰

  2x = 70³⁵

  2       2

Hence x = 35

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

 If 3x - 42⁰ and 2x + 67⁰ are complementary angles, find the value of x.