Question

a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same ​

Answer 1

Isosceles triangle

Explanation:

Thorough explanation: Through the angles in the triangle ABC.

First, observe that angle ACD = 50 degrees (given)

Since lines AB and DE are parallel to each other,

angle BAC = angle ACD = 50 degrees (by the property of alternate angles)

It is also given that angle ABC = 80 degrees.

Since ABC is a triangle, the sum of the three angles must add up to 180 degrees.

Angle BAC + Angle ABC + Angle ACB = 180 degrees

50 + 80 + Angle ACB = 180

Angle ACB = 180 - 50 - 80

= 50 degrees

Since two of the angles, angles ACB and BAC are the same at 50 degrees, triangle ABC is an isosceles triangle. (With sides AB and BC equal)