Question
Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's supplement.
The measure of the angle is two times greater than its supplement.What is the measure of the supplement?
The measure of the angle is two times greater than its supplement.What is the measure of the supplement?
Answers
Supplementary angles are two angles that have a sum of 180°
θ = your angle
The supplementary angle is x as stated in the problem so:
θ + x = 180°
x = 180°- θ
The measure of the angle is two times greater than its supplement means:
θ = 2 x
Replace this value in equation:
x = 180°- θ
x = 180°- 2 x
Add 2 x to both sides
3 x = 180°
x = 180° / 3 = 60°
θ = your angle
The supplementary angle is x as stated in the problem so:
θ + x = 180°
x = 180°- θ
The measure of the angle is two times greater than its supplement means:
θ = 2 x
Replace this value in equation:
x = 180°- θ
x = 180°- 2 x
Add 2 x to both sides
3 x = 180°
x = 180° / 3 = 60°
OR
θ = your angle
x = suplrment
θ = 2 x
θ + x = 180°
2 x + x = 180°
3 x = 180°
x = 180° / 3 = 60°
θ = your angle
x = suplrment
θ = 2 x
θ + x = 180°
2 x + x = 180°
3 x = 180°
x = 180° / 3 = 60°
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