Question

Use the diagram below to answer the questions on the right:

Create a triangle angle equation to solve for x:

Answer 1

Explanation:

this shows us that AB and BC are equal long.

that makes this triangle an isoceles triangle (both legs are equally long). as a consequence both legs must have the same angle with the baseline.

angle A = angle C

13(a)

remember, the sum of all angles in a triangle is always 180°.

so,

180 = 50 + 2x + 2x = 50 + 4x

(b)

180 = 50 + 4x

130 = 4x

x = 130/4 = 65/2 = 32.5

(c)

both angles are

2x = 2×32.5 = 65°