Question

An angle is 32° less than its supplement . The measure of the angle is

Answer 1

Let the supplement angle be x°
It is given that, an angle is 32° less than its supplement.

So, the other angle=(x-32)°
and we know that in supplementary angle concept, there are two angles which add up, to make a total of 180°

ATQ:-
x°+(x-32)°=180°
x°+x°-32°=180°
2x°-32°=180°
2x°=180°+32°
2x°=212°
x°=212°/2
x°=106°

So, one angle is 106° and the other is less than its supplement by 32°, which means 106°-32°=74°

Verification:-
They should make up a total of 180°
So, 106°+74°=180°
180°=180°

LHS=RHS,hence verified.


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Answer 2

Answer:

one angle = x

another angle =x-32

x+x-32=180

2x=212

x=106

The angles are 106 and 74