Question

In the figure, ΔABC ΔEDC. Solve for x. Show your work.

Answer 1

x = 13

Explanation:

Since the Two triangles are equivalent then angles B and D are isometric

i e 8x+16=120 then 8x=120-16 then 8x=104 then x=104÷8=13

:)

Answer 2

x=13°

Explanation:

It is given that triangles ABC and EDC are similar, therefore angles ABC and EDC have the same measurement. Using this information, we can set up an equation.

`(8x+16)=120`

We can remove the parentheses, as they are unnecessary.

`8x+16=120`

We can now solve the equation for x. The first step is subtracting 16 from both sides.

`8x=104`

We can now divide both sides by 8, to isolate x. 104/8=13.

`x=13`

Lets not forget to add the degree symbol, as the problems is dealing with degrees.

x=13°