Question

In the diagram of circle C, what is the measure of <1?
17°
35°
70°
71°​

Answer 1

35 on edge

Explanation:

Trust :)

Answer 2

Given:

Measure of one arc 106°

Measure of another arc 36°.

To find:

The measure of ∠1

Solution:

If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

`$\Rightarrow m\angle 1=(1)/(2) (106^\circ - 36^\circ)`

`$\Rightarrow m\angle 1=(1)/(2) (70^\circ)`

`$\Rightarrow m\angle 1=35^\circ`

The measure of angle 1 is 35°.