Measure QRN when Measure MNR = 52 degrees
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QRN=128°

Step-by-step explanation:

MNR+RNP = 180

52 + RNP = 180

RNP= 180 - 52

RNP = 128° = QRN

Or MNR= QRL = 52

QRL= NRS = 52 —> Opposite angles

QRN+NRS=180

QRN+52=180

QRN=180-52

QRN=128

I hope I helped you^_^

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.