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in triangle ABC the measure of angle A is 58 line segment AB is congruent to AC what is the measure of angle C

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Azikennamdiidn

It is to be noted that where in triangle ABC the measure of angle A is 58° and the line segment AB ≅ AC, then the measure of angle C is: 61°. (Option D). This is because the triangle is an isosceles triangle.

What is an Isosceles triangle and how does that help to solve this problem?

An isosceles triangle is a triangle with two equal-length sides in geometry. It is a well-known rule that the two angles opposite the equal sides are congruent.

Hence, if ∠BAC = 58°; and

∠ABC = ∠ACB

Then,

∠ACB = (180° - 58°)/2 because the Sum of angles in a triangle is 180°

Thus, ∠ACB

= 122/2

∠ACB = 61°

Thus, the measure of Angle C or ∠ACB = 61°

Learn more about Isosceles Triangles:
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