Question

an angle is 32 degree less than its supplement the measure of this angle is the Supplementary angle are in the ratio of 3 ratio 2 the smaller angle measure​

Answer 1

Answer:

let the supplement angle be x

given:

\begin{gathered}(x - 32) + x = 180 \\ 2x = 212 \\ x = 106\end{gathered}

(x−32)+x=180

2x=212

x=106

The angles are 106 and 74

Answer 2

1) Let the angles be x and x+30 respectively.

x+x+30= 180°

2x+30= 180°

2x= 180-30

2x= 150°

x= 150/2

x= 75°

1st angle= x= 75°

2nd angle= x+30= 75+30= 105°

2) Let the angles be 3x and 2x respectively.

3x+2x= 180°

5x= 180°

x= 180/5

x= 36°

1st angle= 3x= 3×36= 108°

2nd angle = 2x = 2×36= 72°

So the second angle is smaller.

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