Answer:
Angle 1: 100
Angle 2: 80
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. The measure of a straight angle is 180 degrees, so a linear pair of angles is equal to 180 degrees.
Angle 1: x
Angle 2: (x * 3/4) + 5
x + (x * 3/4) + 5 = 180
x + 3/4x + 5 = 180
1 3/4x + 5 - 5 = 180 - 5
1 3/4x = 175
1 3/4x / 1 3/4 = 175 / 1 3/4
x = 100
Check:
(x * 3/4) + 5
(100 * 3/4) + 5
75 + 5
80
100 + 80 = 180
