Question

Does someone know how to solve this?

Find the values of the variables and the measures of the angles.

Answer 1

The variable x is equal to 21 degrees. The measurement of each angle are:

1. angle labeled "x" = 21 degrees

2. angle labelled (6x + 10) = 136 degrees

3. angle labelled (x + 2) = 23 degrees

Explanation:

We know that the three angles of any triangle add to equal 180 degrees. We can use this to create the following equation and solve it for x:

x + (6x + 10) + (x + 2) = 180

Combine like terms

8x + 12 = 180

Subtract 12 from both sides

8x = 168

Divide both sides by 8

x = 21

Use this value to find the other two angles as shown in the answer above.