Question

In the diagram above, <1 = 135º.
Find the measure of <3.

Answer 1

The measurement of ∠3 is 135°

Explanation:

In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.

∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.

So, if m∠1 is 135° then the m∠3 is also 135°

Answer 2

m∠=135°

Explanation:

These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.

Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.

Corresponding angles are congruent, which means they have the same measure.

∠1 and ∠3 are corresponding angles, therefore

∠1=∠3

We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.

135=∠3

The measure of ∠3 is 135 degrees.