Gujarat BoardEnglish MediumSTD 9MathsTriangles1 Mark
MCQ
Find the measure of angles which is equal to its supplement.
A
$45^\circ$
B
$60^\circ$
C
$120^\circ$
✓
$90^\circ$
✓
Answer
Correct option: D.
$90^\circ$
We know that the sum of supplementary angle is $180^\circ$
Let the angle be x the other angle is 180° - x and the two angles are equal,
$\Rightarrow x = 180^\circ - x$
$\Rightarrow 2x = 180^\circ$
$\Rightarrow\ \text{X}=\frac{180^\circ}{2}$
$\Rightarrow\ \text{X}=90^\circ$
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