Question

Angle 1 and Angle 2 are both supplementary angles. m angle 1 is 4y + 7, and m angle 2 is 9y + . Find m angle 2. (2 points) please show step-by-step.

Answer 1

we know that

If two angles are supplementary, then their sum is equal to $180$ degrees

in this problem

$angle(1)+angle(2)=180\°$

we have

$angle(1)=4y+7\\\\angle(2)=9y+4$

substitute in the formula above

$(4y+7)+(9y+4)=180\°$

Solve for y

$13y+11\°=180\°$

$13y=(180-11)\°$

$13y=169\°$

$y=13\°$

Find the measure of angle(2)

$angle(2)=9y+4$

$angle(2)=9*13+4$

$angle(2)=121\°$

therefore

the answer is

The measure of angle (2) is $121\°$

Answer 2

There exists a similar question where m angle 2 is 9y + 4. If the angles are supplementary, the sum of their measures is 180 degrees. The equation that represents this situation is,
                                    4y + 7 + 9y + 4 = 180
The value of y is equal to 13. The value of the measure of angle 2 is equal to 121 degrees.