Question

Two complementary angles are ( x-5)° and ( 2x-58) .find the value of x​

Answer 1

Complementary angles :- When sum of two angles is 90⁰ Then, both angles are called as complementary angles.

So,

(x-5)⁰ + (2x-58)⁰ = 90⁰

3x - 63⁰ = 90⁰

3x = 153⁰

x = 153/3

x = 51⁰

Now,

(x-5) = 51 - 5 = 46⁰

(2x - 58)⁰ = [(2×51) - 58]⁰

= 102⁰ - 58⁰ = 44⁰

Hope it helps you.