Question

ABC congruent DEF find the measure of the given angles or the lengths of the given sides ​

Answer 1

Answer:

m∠A = 20° and m∠D = 20°

Step-by-step explanation:

Congruent triangles have equal angles, equal sides, equal perimeters, and equal areas

Let us solve the question

∵ The two triangles ABC and DEF are congruent

∴ m∠A = m∠D

∵ m∠A = x + 10

∵ m∠D = 2x

→ Equate their measures

∴ 2x = x + 10

→ Subtract x from both sides

∵ 2x - x = x - x + 10

∴ x = 10

→ Substitute x by 10 in the measures of angles A and D to find them

∵ m∠A = 10 + 10

∴ m∠A = 20°

∵ m∠D = 2(10)

∴ m∠D = 20°