MCQ
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3, then the greatest of two angles is:
- A36º
- B108º
- C72º
- D54º
✓
Answer
- 108º
Solution:
Let a and b are two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3 and we know that If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.
Let common ratio is x,
a = 2x and b = 3x
a + b = 180º
2x + 3x = 180º
5x = 180º
$\text{x} = \frac{180^\circ}{5} = 36^\circ$
x = 36º
3x = 3 × 36º = 108º.
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