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#40550

angles

triangle

hard

90 sec

In the figure above, $\overline{MQ}$ and $\overline{NR}$ intersect at point $P$ . $NP = QP$ , and $MP = PR$ .
The value of angle $∠ QPR$ is $6 0^{\circ}$ and the value of angle $∠ PQR$ (angle $b$ ) is $7 0^{\circ}$ .
What is the measure, in degrees, of $∠ MNP$ ? (Disregard the degree symbol when gridding your answer.)

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.