Question

What is the value of X?

Answer 1

Answer: x=8

Step-by-step explanation: Since we know that segment AB and BC are the same measure indicated by the black lines running perpendicular to the lines in triangle themselves, we know that angle A and angle C are the same measure. This means we know this equation... Solve this to complete step 1...

69°=(9y-3)°

If you solve for y, you should get 8. This means that y=8. In knowing that a triangle's interior angles add up to 180°, we know that Angle B must be... Solve this equation for step 2...

∠B=180°-(∠A+∠C)

If you solve to find angle B, you should get that ∠B=42°. Knowing this, we can set up another equation similar to that in step 1 (when we found y knowing the angle) to find x... Solve this equation for your third and final step...  

42°=(5x+2)°

If done step 1 through 3 correctly, you should get x to be equal to... and the final answer... x=8