Question

Part A: which of the following can be used to find the measure of angles

Answer 1

We shall begin by calculating the value of x, as that would help us to find the angle measure of each angle.

`\begin{gathered} \angle C+\angle D+\angle E=180 \\ x-5+2x-3+x=180 \\ 4x-8=180 \\ 4x=180+8 \\ 4x=188 \\ x=(188)/(4) \\ x=47 \\ \angle C=x-5 \\ \angle C=47-5 \\ \angle C=42 \\ \angle D=2x-3 \\ \angle D=2(47)-3 \\ \angle D=94-3 \\ \angle D=91 \\ \angle E=x \\ \angle E=47 \end{gathered}`

The triangle is a scalene triangle (all angles are different in measure)

(1) Part A; we can find the angles using the Triangle angle-sum theorem

(2) Part B; measure of each angle as shown as;

The angles are;

C = 42

D = 91

E = 47