Answers

2015-12-05T18:19:10+08:00
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.
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The sum of 150 and 30 is 180 degrees, but the measures do not satisfy the required measurement of the angle's supplement which is "30 more than 5 times the angle".
  • Brainly User
2015-12-05T18:28:51+08:00
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°


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