Charlotte 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. Line N
35
75
70
Line M
Q
R
Which is a true statement she could write?
Ange PRQ measures 35
Ange PRQ measures 75
Ange PQR measures 70
Ange PRQ measures 70

The true statement she could write is angle PRQ measures 75 degrees

From the diagram shown, we are told that line n is parallel to m. For Charlotte to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°, then he needs to get two other interior angles of the triangle PQR.

To get <PQR, she needs to compare the angle 35 degrees to <PQR using the alternate angle theorem and 75 degrees to <PRQ using the alternate angle theorem. Since alternate angles are equal, then she can conclude that:

<PQR = 35 degrees and <PRQ = 75degrees

Hence the true statement she could write is angle PRQ measures 75 degrees

Learn more on properties of a triangle here:

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step-by-step explanation:

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both have same length