Answer: The measure of the smaller angle is 75 degrees.
Given:
Angle 1 + Angle 2 = 180 degrees
Angle 1 = x
Angle 2 = 7/5 * x
x + 7/5 * x = 180
x + 7x/5 = 180
5(x + 7x/5) = 5(180)
5x + 7x = 900
12x = 900
x = 900/12
x = 75 degrees. Angle 1.
Angle 2 = 7/5 * x = 7/5 * 75 = (7 * 75)/5 = 525/5 = 105 degrees
To check:
Angle 1 + Angle 2 = 180 degrees
75 deg + 105 deg = 180 deg
180 deg = 180 deg
Step-by-step explanation:
