Question

line m is a transversal intersecting two parallel lines. angle x and angle y are interior angles. if angle x is congruent to angle y then find the measure of angle y and angle x​

Answer 1

Given :-

• Line m is a transversal intersecting two parallel lines .
• ∠x and ∠y are interior angles .
• ∠x is congruent to ∠y .

To Find :-

• ∠x and ∠y = ?

Solution :-

• we know that, sum of interior angles on the same sides of the transversal are 180° .
• when two angles are congruent ,they have the same measure.

so,

→ ∠x + ∠y = 180°

and,

→ ∠x = ∠y .

therefore,

→ ∠x + ∠x = 180°

→ 2 ∠x = 180°

→ ∠x = 90° .

hence, ∠x and ∠y are 90° each .

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

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