## anonymous one year ago PQR is an isosceles triangle with PQ = QR. If mQPR = 40°, what is mPQR? 30° 40° 60° 80° 100°

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1. anonymous

For an isosoceles triangle, if two sides are the same length, then the two nonincluded angles are the same measure. A generic picture of that would be: |dw:1433438722021:dw| As in the two sides marked x are the same length and the angles marked $$\alpha$$ are the same measure. Since that is true, see if you can piece together the measure of the angle you need :)

2. anonymous

|dw:1433518361158:dw|

3. anonymous

4. anonymous

|dw:1433518423861:dw|

5. anonymous

do you know what all angles add up to in a triangle?

6. anonymous

180

7. anonymous

so 40+40=80… 180-80=100

8. anonymous

so angle mQPR=100