Question

What is the value of x? Enter your answer in the box.

Answer 1

This is an equilateral triangle. Measures of angles are equal to 60°. Therefore we have equations

`8y+12=60` and
`7x+4=60`

`8y+12=60\qquad|-12\\\\8y=48\qquad|:8\\\\\boxed{y=6}\\\\7x+4=69\qquad|-4\\\\7x=56\qquad|:7\\\\\boxed{x=8}`