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

ABC congruent DEF find the measure of the given angles or the lengths of the given-example-1
User Shoba
by
6.8k points

1 Answer

8 votes

Answer:

m∠B = 21°

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∠B = m∠E

∵ m∠B = 3y

∵ m∠E = 21

→ Equate their measures

3y = 21

→ Divide both sides by 3


(3y)/(3) =
(21)/(3)

y = 7

→ Substitute y by 7 in the measures of angle B to find it

∵ m∠B = 3(7)

m∠B = 21°

User M S Gadag
by
7.5k points