Question

1. Two angles are supplements. The larger is 10 more than 4 times the smaller. Find both angles,

2. Two angles are supplements. They're equal in measure. Find both angles.

3. The supplement of an angle is three times the complement of the angle. Find the angle.

4. The supplement of an angle is 12 less than twice the angle. Find both angles.

Answer 1

Explanation:

Supplementary angles equal 180°

1. Let the two angles be x and y

then y = 4x + 10

x + y = 180

x + (4x + 10) = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170 / 5

x = 34

x = 34y = 146

2. if the two angles are equal then divide 180 by 2 to get 90

3. 180 - x = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45

4. 180 - x = 2x - 12

180 - 12 = 2x + x

168 = 3x

x = 56