Answer:
130°
Step-by-step explanation:
The measure of the supplement of an angle is 50 more than twice the measure of the complement. Find the measure of the supplement
Let us represent the Angle as x
An Angle + It's supplement = 180°
x + supplement = 180°
Supplement = 180° - x
Angle + Complement = 90°
Complement = 90° - x
The measure of the supplement of an angle is 50 more than twice the measure of the complement.
Supplement = 50 + 2(Complement)
Since = Supplement = 180° - x
Complement = 90° - x
Hence
180° - x = 50 + 2(90° - x)
180° - x = 50 + 180° - 2x
Collect like terms
-x + 2x = 50 + 180 - 180
x = 50°
Angle = x = 50°
We are asked to find the Measure for the supplement
Supplement = 180° - x
Supplement = 180° - 50°
= 130°
Hence, the measure of the supplement = 130°
