1 Answer

Jenna Kwon · Answer 1 · 2021-02-05T23:04:34+0000

Given:

Consider the below figure attached with this question.

$m\angle 3=(x+30)^\circ$ and
$m\angle 4=(2x-80)^\circ$ .

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

$m\angle 3=m\angle 4$

$(x+30)^\circ=(2x-80)^\circ$

x+30=2x-80

x-2x=-30-80

-x=-110

x=110

Now,

$m\angle 3=(110+30)^\circ$

$m\angle 3=140^\circ$

Therefore, the measure of angle 3 is 140 degrees.

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