Question

Solve for X. Justify your answer. (9x –13) X Y (4x + 2)° your answer

Answer 1

The triangle shows two sides with single strokes which indicates that the two sides are of equal length.

What we have here is an isosceles triangle. The two base angles subtended by the equal sides are also equal in measure.

This means 9x - 13 = 4x + 2.

`\begin{gathered} 9x-13=4x+2 \\ \text{Collect all like terms} \\ 9x-4x=2+13 \\ 5x=15 \\ \text{Divide both sides by 5} \\ x=3 \\ \text{That means the angles are;} \\ 9x-13 \\ =9(3)-13 \\ =27-13 \\ =14 \\ \text{Also,} \\ 4x+2 \\ =4(3)+2 \\ =12+2 \\ =14 \end{gathered}`

Both base angles measure 14 degrees