Gujarat BoardEnglish MediumSTD 9MathsLines and Angles1 Mark
MCQ
In the given figure, the measure of $\angle\text{ABC}$ is:
A
$20^\circ$
✓
$80^\circ$
C
$60^\circ$
D
$100^\circ$
✓
Answer
Correct option: B.
$80^\circ$
$\angle\text{A}=20^\circ$ (Vertical opp Angle)
In $\angle\text{ABC}$
The exterior angle so formed is equal to the sum of the two interior opposite angles.
$\angle\text{A}+\angle\text{ABC}=100^\circ$
$20^\circ+\angle\text{ABC}=100$
$\angle\text{ABC}=100^\circ-20^\circ$
$\angle\text{ABC}=180^\circ.$
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