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pls help asapp picture attached

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x + 10) degrees, what is the value of x?

pls help asapp picture attached If the measure of angle 1 is 110 degrees and the measure of angle 3 is 2 x 10 degrees what is the value of x class=

Respuesta :

Answer:

50

Step-by-step explanation:

Angle 1 is 110.

Angle 3 is 2x plus 10.

Angle 1 and 3 are vertically opposite angles.

And vertically opposite angles r equal.

Which means, angle 1=angle 3,and angle 2=angke 4.

Here we only Need angle 2 and 3.

Angke 2= angle 3.

Which is 2x plus 10=110.

Therefore 2x=110-10=100

Therefore x = 100÷2=50

There u have it ma'am.

joseaaronlara

Answer:

The answer to your question is x = 50

Step-by-step explanation:

Data

∠1 = 110°

∠3 = 2x + 10

Process

1.- Angle ∠1 and angle 3 are vertical angles so, they measure the same.

                         ∠1 = ∠ 3

                        110 = 2x + 10

2.- Solve for x

Substract 10 in both sides

                        110 - 10 = 2x + 10 - 10

Simplify

                             100 = 2x

Divide by 2 both sides

                             100/2 = 2/2 x

Simplify and result

                                 50 = x                        

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