Question

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

Answer 1

Answer:

x=13°

Step-by-step 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°

Answer 2

Answer:

x = 13

Step-by-step 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

:)