Answer to Question #161907 in Geometry for Carl Vincent bandija

Question

Find measurement arc AF=(26x+15)°,find measurement arc EA

Answer 1

Here arc AF=26x+15

So, as the angle is equal to the angle subtended by a diameter at center hence,

$26x+15=90\\ \Rightarrow26x=75\\ \Rightarrow x=(\frac{75}{26})^{\circ}$

Now, arc EA is:-

$(180-\frac{75}{26})^{\circ}=177.11^{\circ}$