Question

HELPPP circle theorems

Answer 1

56 degrees.

Explanation:

We need the measure of < g.

The triangle formed by the 2 tangents and the chord is isosceles, because 2 tangents from a point outside a circle are of equal length (by the Two Tangents theorem).

Also one of the base angles are equal to 62 degrees ( by The Tangent Chord theorem). In fact both base angles are 62 degrees because the triangles an isosceles.

So measure of angle g = 180 - 2(62)

= 56 degrees.