keniarobles749
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Answer:

79.2°

Step-by-step explanation:

We know,

That Angle 1 and angle 3 are vertically opposite angles.

And as vertically opposite angles are always equal so

According to the question

13x + 22 = 18x13x+22=18x

= > 22 = 18x - 13x=>22=18x−13x

= > 5x= 22=>5x=22

= > x = \frac{22}{5}=>x=522

= > x = 4.4=>x=4.4

Now,

We know that the value of x is 4.4°

And Angle 3 = 18x

So,

angle \: 3 = 18xangle3=18x

= > angle \: 3 = 18(4.4)=>angle3=18(4.4)

= > angle \: 3 = 79.2=>angle3=79.2

___________________________________

We can even Check it!!

We know that Angle 1 = Angle 3 ( Vertically opposite angles)

So,

According to the question

13x + 22 = 18x13x+22=18x

= > 13(4.4) + 22 = 18(4.4)=>13(4.4)+22=18(4.4)

= > 79.2 = 79.2=>79.2=79.2

As L.H.S = R.H.S

So The measure of angle 3 is 79.2° ( and it is already rounded to the nearest tenths.)

Hope it helps you!!

.....

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