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Question
Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75° then the measure of the other angle is ______.
Options
105°
15°
75°
45°
Solution
Two parallel lines are intersected by a transversal. If measure of one of the alternate interior angles is 75° then the measure of the other angle is 75°.
Explanation:
Suppose line RP || line MS and line DK is the transversal intersecting them at H and G respectively.
Let ∠PHG = 75∘
Now, ∠MGH is the alternate angle to ∠PHG.
It is known that, alternate interior angles formed by a transversal of two parallel lines are of equal measure.
∴ ∠MGH = 75∘
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