Question

an angle is 74 degree more than its complement. find them​

Answer 1

Step-by-step explanation:

let the angle be x

it's complement will be 90-x

A.T.Q.

x=90-x+74

x+x=90+74

2x=164

x=164/2

x=82°

90-x=90-82=8°

Answer 2

Answer:

θ₁ = 8°         θ₂ = 82°

Step-by-step explanation:

Two angle are said to be complementary when sum of their angles is equal to 90°.

One angle is 74° more than another

let first angle be,θ₁ = θ

second angle,θ₂ =θ + 74°

now,

θ₁ + θ₂ = 90°

θ + θ + 74° = 90°

2θ = 90° - 74°

θ  = 8°

now,  θ₁ = 8°         θ₂ = 8° + 74° = 82°

angles are θ₁ = 8°         θ₂ = 82°