MCQ
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio $3: 7,$ then the measure of the larger angle is:
- A$54^\circ $
- B$120^\circ$
- ✓$126^\circ$
- D$108^\circ$
Let the angles be $3x$ and $7x.$
We know that sum of two interior angles on the same side of transversal is $180.$
$3x + 7x =180$
$\Rightarrow 10x = 180$
$\Rightarrow x = 18$
Therefore, the greater angle is $7x = 7 \times 18 = 126$
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