Question

what is the measure of an angle whose measure is 32° less than its supplement ? (a) 55° (b) 148° (c) 60° (d) 74°​

Answer 1

Answer:

(d) 74°

Step-by-step explanation:

Supplement = 180°

And the angle to find is 32° less than its supplement,

Therefore

32 + x + x =180

2x = 148

x = 148/2 = 74°

Therefore the 2 angles are 74°and 106°

Answer 2

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

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