Question

triangle ABC is congruent to triangle DEF. find the measure of the given angles measure angle A = x+20measure angle D= 2xmeasure angle A=....°measure angle D=....°

Answer 1

A = 40

D = 40

Explanation

The triangle ABE and DEF congruent, meaning they have the same measures of sides and angles.

This means angles A and D are equal; therefore,

`x+20=2x`

subtracting x from both sides gives

`20=x\text{. }`

With the value of x in hand, we now find the measures of A and B

`\begin{gathered} \angle A=x+20 \\ \angle A=40. \end{gathered}`

and

`\begin{gathered} \angle D=2x \\ \angle D=40. \end{gathered}`

Hence,

`\begin{gathered} \angle A=40 \\ \angle D=40 \end{gathered}`