SOLUTION: if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?
Algebra.Com
Question 416042: if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?"
Supplementary angles add up to 180.
x = one angle
2x = other angle {twice as large as the other}
x + 2x = 180 {supplementary angles add up to 180}
3x = 180 {combined like terms}
x = 60 {divided both sides by 3}
2x = 120 {substituted 60, in for x, into 2x}
60 and 120 are the two angles
60 is the measure of the smaller angle
www.algebrahouse.com
RELATED QUESTIONS
two angles are supplementary. the measure of one angle is twice as large as the measure... (answered by alicealc)
Two angles are supplementary. The measure of one angle is twice as large as the measure... (answered by lwsshak3)
If two angles are supplementary and one angle is twice as large as the other, find the... (answered by rfer)
Two angles are supplementary. Thier combined measures equal 180 degrees. One angle is... (answered by stanbon)
Two angles are called supplementary angles if the sum of their measures is 180°. Find the (answered by Gentle Phill,MathTherapy)
two angles are supplementary. one angle is 3 degrees less than twice the other. Find the... (answered by rfer)
If two angles are supplementary and one angle measures 83 degrees, what is the measure of (answered by mathie123)
If two angles are supplementary and one angle measures 97 degrees, what is the measure of (answered by Alan3354)
Two angles are supplementary. One angle is 15 degrees more than twice the other. Find the (answered by rfer)