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
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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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