Posted by **crystal** on Saturday, November 20, 2010 at 3:59pm.

in triangle PQR,line segment PQ is = and congruent to line segment QR. if m<p = 4x + 50, m<Q =2x + 60 and m<R = 14x + 30, find the measure of each angle.

- geometry -
**Reiny**, Saturday, November 20, 2010 at 4:50pm
You have conflicting information.

First of all, the 3 angles must add up to 180°, so

4x+50 + 2x+60 + 14x + 30 = 180

20x = 40

x = 2

and the 3 angles would be 58°, 64° , and 42°.

BUT, in the first sentence you said that PQ = QR, making it isosceles.

Contradiction!

Two of the angles would have to be equal.

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