Question

The two triangles are similar. Find the missing length X and measure of Pls help im desperate

Answer 1

Answer: x=18, A=80 degrees

Step-by-step explanation:

By AA, we can say that $\triangle ABC \sim \triangle$DEF. So:

1. Since the lengths of corresponding sides of similar triangles in equal ratio, we can say that

$\frac{AB}{DE}=\frac{AC}{DF}\\\frac{20}{30}=\frac{12}{x}\\\frac{2}{3}=\frac{12}{x}\\\frac{12}{18}=\frac{12}{x}\\x=18$

2. Since corresponding angles in similar triangles are equal, $\angle A=\angle D=80^{\circ}$