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Question 58288e6e

Geometry and Trigonometry - Lines, angles, and triangles

The figure presents line segments MQ and NR that intersect at point P, where point N is above and slightly to the right of point M and point Q is above and slightly to the left of point R. Line segments MN, QR, and horizontal line segment M, R are drawn forming triangles MNR and QMR. The measure of angle QPR is labeled 60 degrees and the angle measure of MQR is labeled 70 degrees.

In the figure above, $line segment M Q$ and $line segment N R$ intersect at point P, $N P equals Q P$ , and $M P equals P R$ . What is the measure, in degrees, of $angle Q M R$ ? (Disregard the degree symbol when gridding your answer.)