Question

A) What type of triangle is triangle ABC? isosceles b) Give reasons for your answer.

Answer 1

The type of triangle represented in the image attached to the task content is; Isosceles.

What type of triangle is triangle ABC?

By observation; since line AB and DE are parallel lines; it follows from the alternate Angie theorem that; <ABC = <BCE = 80°.

On this note, since angle ACD is 50°, the measure on <ACB is;

180 - 80 - 50 = 50°.

Therefore, since the sum of interior angle measures in a triangle is; 180°.

It follows that; <BAC is; 180 - 80 - 50 = 50°.

Hence, since the base angles; BAC and ACB are equal; it follows that the triangle in discuss is an isosceles triangle.

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