46.4k views
3 votes
Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 57°. What is m∠D?

User Arash HF
by
3.4k points

1 Answer

3 votes

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Draw the triangles

step 2: Write the congruent sides


\begin{gathered} \triangle ABC\cong\triangle DEF \\ this\text{ means that:} \\ \angle A\cong\angle D \\ \angle B\cong\angle E \\ \angle C\cong\angle F \end{gathered}

STEP 3: Find the measure of angle D

It can be seen from step 2 that angle D is congruent to angle A.

We find angle A as seen below:


A=90-57=33\degree

Since angle D is congruent to angle A,

hence, m

Triangle ABC is congruent to triangle DEF. Angle B is a right angle, and m∠C = 57°. What-example-1
User Egfconnor
by
3.6k points