Question

Find measure angle 1

Answer 1

37° and 63°

Explanation:

the measure of a secant- secant angle and a tangent- tangent angle is half the measure of the intercepted arcs.

5

∠ 1 =
`(1)/(2)` (108 - 34)° =
`(1)/(2)` × 74° = 37°

6

the sum of the arcs in a circle is 360° , then

minor arc = 360° - 243° = 117°

∠ 1 =
`(1)/(2)` (243 - 117)° =
`(1)/(2)` × 126° = 63°