Question

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

Answer 1

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.

$\Rightarrow m\angle 1=\frac{1}{2} (106^\circ - 36^\circ)$

$\Rightarrow m\angle 1=\frac{1}{2} (70^\circ)$

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

The measure of angle 1 is 35°.

Answer 2

Answer:

35 on edge

Step-by-step explanation:

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