Question

Determining an Unknown Angle Measure

The measure of angle 1 is (3x + 10)° and the measure of
angle 4 is (4x-15)°.
what is the measure of 7?

Answer 1

Answer: 10

Explanation:

first solve for x, 3x+10=4x-15

x=25

now solve both equations to find two of the angles

angle 1: 85 angle 4:85

now add the two angles and subtract them from 180, 85+85=170. 180-170=10

angle 7 is 10