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

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

`(AB)/(DE)=(AC)/(DF)\\(20)/(30)=(12)/(x)\\(2)/(3)=(12)/(x)\\(12)/(18)=(12)/(x)\\x=18`

2. Since corresponding angles in similar triangles are equal,
`\angle A=\angle D=80^(\circ)`