Given:
KP = PL
GH = 36 ft
Let's find the measure of arc GM.
Apply the angle arc relationship to find the measure of angle KGL:
[tex]KG\text{L}=\frac{HJ}{2}[/tex]
[tex]KGL=\frac{52}{2}=26\text{ degre}es[/tex]
GKP + GLP + KGL + KGP = 360 degrees
90 + 90 + 26 + KPL = 360
206 + KPL = 360
Subtract 206 from both sides:
206 - 206 + KPL = 360 - 206
KPL = 154 degrees
To find the measure of arc GM, we have:
[tex]\begin{gathered} arcGM=\frac{KPL}{2} \\ \\ arcGM=\frac{154}{2} \\ \\ \text{arcGM}=77\text{ degre}es \end{gathered}[/tex]
Therefore, the length of arc GM is 77 degrees
ANSWER:
77°
