Question

PLS HELP!!! no work needed just answer (geometry) 15 points

Answer 1

Answer:25!

Explanation:

Answer 2

Given:

Measure of intercepted arcs 72° and 22°.

To find:

The value of the variable x.

Solution:

Angle of intersecting secants theorem:

If two chords intersecting outside a circle, then the measure of an angle formed is half of the positive difference of the measure of intercepted arcs.

`$\Rightarrow \angle x^\circ = (1)/(2)(72^\circ-22^\circ)`

`$\Rightarrow \angle x^\circ = (1)/(2)(50^\circ)`

`$\Rightarrow \angle x^\circ = 25^\circ`

The value of the variable is 25°.