Question

An angle measures 45.6° less than the measure of its complementary angle. What is the measure of each angle?​

Answer 1

Let the angle be x

• Other angle be x+45.6

ATQ

`\\ \bull\longmapsto x+x+45.6=90`

`\\ \bull\longmapsto 2x+45.6=90`

`\\ \bull\longmapsto 2x=90-45.6=44.4`

`\\ \bull\longmapsto x=44.4/2=22.2`

• x+45.6=22.2+45.6=67.8

Answer 2

Explanation:

Let the first angle be x,

second angle= x-45.6°

Now,

x+(x-45.6)°=90°

x+x-45.6°=90°

2x-45.6°=90°

2x=90°+45.6°

2x=135.6

x=135.6/2

x=67.8

Hence,

First angle= x= 67.8°

Second angle= x-45.6°= 67.8°-45.6°= 22.2°