Question

If m, arc, W, V, equals, 44, degreesm
WV
⌢
=44
∘
and m, arc, B, X, equals, 126, degreesm
BX
⌢
=126
∘
, find m, angle, Fm∠F.

Answer 1

Arc BX is an angle on the circumference of a circle that is twice the angle that the arc subtends at the center. Therefore, angle F is half of arc BX.

m∠F = 126 degrees / 2 = 63 degrees.

Therefore, m∠F = 63 degrees.