Question

Help me cause why not

Answer 1

a. x = 50, the measure of ∠A = 170°.

b. y = 7, the measure of FE = 14, AB = 14.

In the question, we are given that ΔABC ≅ ΔEFG, that is, triangle ABC is congruent to triangle EFG.

As we know that corresponding parts of congruent triangles are also congruent,

we can write that:

∠A = ∠E,

∠B = ∠F,

∠C = ∠G,

AB = EF,

BC = FG, and

CA = GE.

Now,

a. We are asked to solve for x.

We know that:

∠A = ∠E,

or, 3x + 20 = 5x - 80,

or, 3x - 5x = -80 - 20,

or, -2x = -100,

or, x = -100/-2 = 50.

Also, we are asked to find the measure of ∠A.

∠A = (3x + 20)° = (3*50 + 20)° = 170°.

b. We are asked to solve for y.

We know that,

AB = EF,

or, y + 7 = 3y - 7,

or, y - 3y = - 7 - 7,

or, -2y = -14,

or, y = -14/-2 = 7.

Also, we are asked to find the measure of FE and AB.

FE = 3y - 7 = 3*7 - 7 = 14.

AB = y + 7 = 7 + 7 = 14.

Learn more about congruent triangles at

brainly.com/question/1675117

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