Question

A transversal intersects two parallel lines. If the measure of one of the angle is 45⁰, then the measure of its corresponding angle is _______.​

Answer 1

Answer:

The answer is 45 degrees .

Answer 2

Given:

Transversal intersects two parallel lines.

Measure of one angle = 45°

To find:

The value of corresponding angle.

Solution:

If a transversal intersects two parallel lines, then corresponding angles are equal. This is a property of parallel lines intersected by a transversal.

Let ∅₁ = 45° (given)

Let ∅₂ be the corresponding angle of ∅₁.

According to the property, ∅₁ is equal to ∅₂ because they are corresponding angles of two parallel lines intersected by a transversal.

Hence, ∅₂ = 45°.

When a transversal intersects two parallel lines and if the measure of one of the angles is 45°, then the measure of the corresponding angle is 45°.