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Hey! what would the answer be, I am a little lost!

Hey! what would the answer be, I am a little lost!-example-1
Hey! what would the answer be, I am a little lost!-example-1
Hey! what would the answer be, I am a little lost!-example-2

1 Answer

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All of the triangles are an isosceles triangle, which means that they have two congruent side, and two congruent angles.

The first triangle has ∠B as 56°, AB ≅ BC.

The angle opposite to AB and BC are therefore, congruent, which means that

∠A + ∠B +∠C = 180°

∠A + 56° + ∠A= 180° (∠A and ∠C are congruent)

2∠A = 180° - 56°

2∠A = 124

∠A = 62°

The second triangle has ∠C equal to 62°. Since ∠A and ∠Care the angle opposite to the congruent side, they are also congruent which means ∠A = 62°.

The fourth triangle which has an exterior angle of ∠C equal to 118° forms a linear pair, and are thus supplementary

∠C = 62°, and both ∠C and ∠A are the corresponding angles to the congruent sides, it follows that they are also congruent.

∠A = 62°.

Conclusion

The following triangles have m∠A = 62°, first, second, and fourth triangle.

User Vinod Pattanshetti
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