Answer: The larger angle is about 156.84 degrees.
Explanation:
x = smaller angle
6x + 18 = larger angle
Supplementary angles add up to 180 degrees.
x + 6x + 18 = 180
7x + 18 = 180
7x = 162
x = 23.1429
x = 23.14 degrees
X can be substituted into the other expression to find the larger angle.
6(23.14) + 18
138.84 + 18
156.84 degrees
To check, add the two angles to make sure the sum is 180 degrees.
23.14 + 156.84 = 180
179.98 = 180
^^^ the numbers don’t exactly match because of the rounding I did. the solutions are correct
