SOLUTION: In parallelogram QUID, m∠Q = 2x + 5° and m∠I = 4x − 55°. What is m∠U?

Algebra ->  Pythagorean-theorem -> SOLUTION: In parallelogram QUID, m∠Q = 2x + 5° and m∠I = 4x − 55°. What is m∠U?      Log On


   

Question 1200686: In parallelogram QUID, m∠Q = 2x + 5° and m∠I = 4x − 55°. What is m∠U?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Angles Q and I are opposite in the parallelogram, so they are congruent.

Therefore, you write an equation

        2x + 5 = 4x - 55.

You solve this equation and find x.

After that you find angle's Q measure using the formula Q = 2x+5.

After that you find the measure of the angle U as the supplementary angle to angle Q.