Question 156009
Hi, Hope I can help
.
two angles are supplementary. One has a measure of 58 degrees. Find the measure of the second angle.
.
Supplementary angles always add up to 180 degrees
.
If given one angle ( 58 degrees) we can find the other angle( we will say the unknown angle is "x" degrees)
.
Since they have to add up to 180 degrees, here is the equation
.
Unknown angle = "x" degrees
Known angle = 58 degrees
.
We add them together
.
{{{ x + 58 = 180 }}} now all we do is solve for "x"
.
{{{ x + 58 = 180 }}}
.
We will move 58 to the right side
.
{{{ x + 58 - 58 = 180 - 58 }}}
.
{{{ x = 122 }}}
.
We found "x", "x" = 122
.
The unknown angle is 122 degrees
.
We can check by replacing "x" with 122 in our equation
.
{{{ x + 58 = 180 }}} = {{{ 122 + 58 = 180 }}} = {{{ 180 = 180 }}} (True)
.
The two supplementary angles are
.
First angle = 58 degrees
Second angle = 122 degrees
.
Hope I helped, Levi