Question

A triangular shaped roof on a house has congruent legs. What is the measure of

each of the two base angles?
(A) 25
80
(B) 50
(C) 100
(D) 120

Answer 1

We cannot determine the exact measure of each base angle in an isosceles triangle without knowing the vertex angle, but they are typically acute and together add up to less than 180 degrees.

Step-by-step explanation:

The question is regarding a triangle with two congruent legs, which means it is an isosceles triangle. For isosceles triangles, the base angles are also congruent. Since the sum of the internal angles of any triangle is 180 degrees, and assuming the vertex angle is not one of the base angles, we can determine the measure of each base angle. If the two congruent angles are represented as x, we can set up the equation 2x + vertex angle = 180 degrees. Without additional information about the vertex angle, we cannot determine the exact measure of the base angles. However, the common understanding of isosceles triangles lets us infer that if the vertex angle is not part of the base, the base angles are typically acute, meaning they are less than 90 degrees each.