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Urgent sos!!! find x if triangle abc is congruent to triangle def

Urgent sos!!! find x if triangle abc is congruent to triangle def-example-1

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If triangle ABC is congruent to triangle DEF, their interior angles are congruent, because congruent parts of congruent triangles are congruent (CPCTC).

That means ∠D is congruent to ∠A; ∠D is equal to 8x - 2.

Interior angles of all triangles add to equal 180 degrees, so you can set the sum of these interior angle values equal to 180 and solve for x.

180 = (8x - 2) + 22 + 72

180 = 8x - 2 + 22 + 72

180 = 8x + 92

88 = 8x

11 = x

Answer:

x = 11

User Ocramot
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