Question

In the triangle below, suppose that m

Answer 1

C = 28 degrees

D = 28 degrees

E = 124 degrees

Step-by-step explanation

We have the three angles of the triangle are given as:

The angles in a triangle sum up to give 180 degrees. This implies that:

C + D + E = 180

=> (x + 3) + (x + 3) +(5x - 1) = 180

Collect like terms:

x + x + 5x + 3 + 3 - 1 = 180

7x + 5 = 180

7x = 180 - 5 = 175

x = 175 / 7

x = 25 degrees

Therefore, the three angles are:

C = 25 + 3 = 28 degrees

D = 25 + 3 = 28 degrees

E = 5(25) - 1 = 125 - 1 = 124 degrees