Answer:
120
Step-by-step explanation:
x + y = 180
2x = y
Use substitution to solve for this system of equations (substitute 2x for y)
x + (2x) = 180
3x = 180
x = 60
Plug in x into one equation:
2(60) = y
y = 120
120 is the larger angle.
The measure of the larger angle is 120° if the two adjacent angles are supplementary and one angle measures twice the other angle.
It is defined as the angles whose sum is 180°, if we have a measure of one angle then we can find the other one by subtracting it from the 180°
We have two adjacent angles that are supplementary.
Let's suppose the measure of one angle is x° and the measure of the second one is y°, then the sum of the x and y will be 180°
x+y = 180° and
x = 2y (as the one angle measures twice the other)
Put x = 2y in the first equation, we get:
2y + y = 180°
3y = 180°
y = 60° (divide by 3 on both sides)
Put this value in the x = 2y, we get:
x = 2(60) = 120°
Thus, the measure of the larger angle is 120° if the two adjacent angles are supplementary and one angle measures twice the other angle.
Learn more about the supplementary angles here:
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