Question

In the figure above, line AG is tangent to circle C at point F, the measure of

If the measure of Arc BH = 70°, what is m

Answer 1

A) 23°

Explanation:

After observing the diagram shown above, we can see that the circle is places on a straight line labelled as AFG

It is important to note that angles on a straight line (AFG) = 180°

We are given

Angle BFA =61°

Arc EH = 26°

Arc BH = 70°

Angle GFE = unknown. We are to find this angle.

Since the angle on a straight line(AFG) = 180°

Therefore,

180° = Angle BFA + Arc EH + Arc BH + Angle GFE

180° = 61° + 26° + 70° + Angle GFE

180° = 157° + Angle GFE

Angle GFE = 180° - 157°

= 23°