contestada

Marc 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.


Linen

P

450

85°

50°

Line m

Q

R

(not drawn to scale)


Which is a true statement he could write? (6 points)


1) Angle PRQ measures 45°.


2) Angle PQR measures 85°.


3) Angle PQR measures 40°.


4) Angle PRQ measures 50°.

Respuesta :

abidemiokin

The sum of the interior angle of the triangle PQR is 180 degrees

Find the diagram to the question attached. From the figure, we can see that;

<PQR = 35 degrees  (alternate interior angle)

<PRQ = 75 degrees   (alternate interior angle)

Check if the sum of the angle in the triangle PQR is 180 degrees.

From the diagram, <PQR+<PRQ+<QPR = 180

<PQR+<PRQ+<QPR = 35 + 75 + 70

<PQR+<PRQ+<QPR = 110 +70

<PQR+<PRQ+<QPR = 180 degrees

Hence the sum of the interior angle of the triangle PQR is 180 degrees

Learn more on angles here: https://brainly.com/question/25215131

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