• Problem:
Two adjacent of a parallelogram are (2m+15)° and (3m-5)°, what is the value of m?
• Solution:
One of the properties of parallelogram says that the measure of two adjacent or consecutive angles equates to 180°. They are supplementary angles.
[tex] \large \tt(2m+15° ) + (3m-5)° = 180 \degree[/tex]
[tex] \large \tt2m+15 + 3m-5 = 180[/tex]
[tex] \large \tt5m+10= 180[/tex]
[tex] \large \tt5m= 180 - 10[/tex]
[tex] \large \tt5m= 170[/tex]
[tex] \large \tt m= 34[/tex]
Thus, the value of m is 34.
• Answer:
The answer is [tex] \large \boxed{ \tt c.34}[/tex].
