Question

I hate angles so much.Is anyone good at it? Will give brainlest and points to whoever have best explanation​

Answer 1

Answer:

x = 5

Step-by-step explanation:

To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:

∠D = 10x

50° = 10x

Divide each side by 10 to isolate x:

50/10 = 10x/10

x = 5