Find the value of x.
m<2= 10x + 10

The answer to your question is x = 3

Step-by-step explanation:

Data

m∠2 = 10x + 10

exterior angle = 110°

x = ?

Process

1.- Find the measure of the angle supplementary to the angle 110°. It will be angle y.

    180° = 110° + y

- Solve for y

     y = 180 - 110

     y = 70

2.- From the picture we conclude that the triangle is Isosceles because two of its sides measure the same.

In an Isosceles triangle two of its angles measure the same so,

       180° = 70° + 70° + ∠2

- Solve for ∠2

       ∠2 = 180 - 70 - 70

       ∠2 = 40

3.- Find x

      10x + 10 = 40

Solve for x

      10x = 40 - 10

      10x = 30

          x = 30/10

          x = 3          

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2