ThegEEKid
Answered

The supplement of angle is 30 more than 5 times the other. Find the angle.

Sagot :

Code11id
150 degrees because if we are going to work back 150 minus 30 is equal to 120, and the divide it by 4 the answer is 30. then the sum of 30 and 150 is 180, which would be supplementary.
First angle: x
Second angle (the supplement): 5x + 30
Sum of the measures of supplementary angles:  180°

Equation:
(x) + (5x+30) = 180
6x + 30 = 180
6x = 180 + 30
6x = 150
6x/6 = 150/6
x = 25

ANSWER:  The measure of the angle is 25°

The supplementary angles are:
First angle: x = 25°
Angle's supplement: 5x + 30 = 5(25) + 30 = 125 + 30 = 155°

Check: 
25° + 155° = 180°
180° = 180°