👤
Answered

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. Line m is parallel to line n.Which is a true statement he could write? Angle PRQ measures 40°. Angle PQR measures 60°. Angle PRQ measures 80°. Angle PQR measures 40°.

Alex Is Writing Statements To Prove That The Sum Of The Measures Of Interior Angles Of Triangle PQR Is Equal To 180 Line M Is Parallel To Line NWhich Is A True class=

Answer :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the given image

STEP 2: Explain the alternate interior angles

Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. They lie on the inner side of the parallel lines but on the opposite sides of the transversal. The transversal crosses through the two lines which are Coplanar at separate points.

This can be seen with the image below:

Therefore, from the explanation above, PQR will be equal to 40 degrees as seen in the image in step 1.

Hence,

Angle PQR measures 40°.

View image DamaraG404976
View image DamaraG404976

Go Teaching: Other Questions