Question

How would solve for x? Explain your steps and the use of any theorems. What is the value of x?

Answer 1

x = 18

Explanation:

(7x- 8)°+ 62° = 180 ............"same side interior angle theorem" states: If a transversal intersects two parallel lines, each pair of same side interior angles are supplementary (their sum is 180∘ ).

7x - 8°+ 62° = 180°

7x + 54° =180°

7x = 180° - 54°

7x = 126°

x = 18°

Answer 2

x = 18°

Explanation:

Step 1:

7x - 8° + 62° = 180° Supplementary ∠'s

Step 2:

7x + 54° = 180° Combine Like Terms

Step 3:

7x = 180° - 54° Subtract 54° on both sides

Step 4:

7x = 126° Combine Like Terms

Step 5:

x = 126° ÷ 7 Divide

Answer:

x = 18°

Hope This Helps :)