Question

What is value of x?

A. 10
B. 12
C. 3
D. 9

Answer 1

Answer: 10

Explanation:

Set the equal angles as x, as shown below.

Then,
`sin(x)=(x+4)/(8)` and
`sin(x)=(2x+1)/(12)`. Set them equal to each other and solve for x:

`(x+4)/(8) =(2x+1)/(12) \\ \\12(x+4)=8(2x+1)\\12x+48=16x+8\\48-8=16x-12x\\4x=40\\x=10`

This is assuming those two triangles are right triangles. I'm actually not sure if they're right triangles.