15° and 165°
Step-by-step explanation:
Step 1 :
Let x and y denote the angles with x as the smaller angle and y as the larger angle
When 2 angles are supplementary, the sum of both the angles is 180 degrees.
Hence x + y = 180
Step 2:
Given that the larger angle is 15 more than 10 times the smaller angle
Hence y = 15 + 10 x
Step 3 :
Solving for the 2 equations we have
11x = 165 => x = 15
=> y = 180-15 = 165
Hence the 2 angles are 15 and 165 degrees.
