Tamara 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 she could write? Angle PRQ measures 30°. Angle PRO measures 15° Angle PQR measures 15°. Angle PQR measures 45°.

For Tamara to prove that the sum of all three interior angle measures of triangle PQR equals 180°, one of the statement she could write that is true is:

B. m<PRQ = 15°

Recall:

Sum of triangle = 180 degrees

Referring to the image attached below, where lines m and n are parallel to each other, to prove that the sum of all three interior angles of triangle PQR = 180°, Tamara will have to determine the angle measures of <PQR and <PRQ.

Thus:

m<PRQ = 15° (alternate interior angles are congruent)

m<PQR = 30° (alternate interior angles are congruent)

The sum of all interior angles of triangle PQR will be:

30 + 15 + 135 = 180°

Therefore, for Tamara to prove that the sum of all three interior angle measures of triangle PQR equals 180°, one of the statement she could write that is true is:

B. m<PRQ = 15°

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Tamara 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 she could write? Angle PRQ measures 30°. Angle PRO measures 15° Angle PQR measures 15°. Angle PQR measures 45°.​

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Tamara 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 she could write? Angle PRQ measures 30°. Angle PRO measures 15° Angle PQR measures 15°. Angle PQR measures 45°.