A pair of congruent angles are described as follows: The degree measure of one angle is three more than twice a number, and the other angle's degree measure is 50 less than three times the number. What is the measure of the angles in degrees?

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Answer 1 · 2017-09-29T12:49:48

The angle is #109°#

Congruent angles are exactly the same size.

We have been given a different description for each angle.

Let the number referred to be #x#

Three more than twice the number: #2x+3#

#50# less than #3# times the number: #3x-50#

#3x-50 = 2x+3#

#3x-2x = 3+50#

#x=53#

The angles are:

#2(53)+3 = 106+3 =109°#

#3(53)-50 = 159-50 =109°#