Homework Help: geometry

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.

Answer this Question

Related Questions

geometry - Given: M is the midpoint of line segment PQ and line segment RS. ...
geometry - in triangle PQR ~ -- ~ -- if m<P = PQ = QR. 4x + 50, m<...
geometry - given line segment PQ , PQ=3QR, and QR= 1/3 RS Prove: line segment PQ...
Geometry - Given: line segment AD is congruent to line segment CD, <1 is ...
Geometry - Yes, I'm this desperate. I just have problems with coming up with...
geometry - 5. The lengths of segments PQ and PR are 8 inches and 5 inches, ...
geometry - The lengths of segments PQ and PR are 8 inches and 5 inches, ...
geometry - The lengths of segments PQ and PR are 8 inches and 5 inches, ...
Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...
Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...

For Further Reading

First Name:
School Subject:
Answer: