Question

Use a proportion to find the missing side length, x.

Answer 1

Answer:

The measure of angle ABC is;

$m\measuredangle ABC=72^0$

Explanation:

Given the triangle ABC.

Recall that the sum of angles in a triangle is 180 degrees;

$8x+6x+6x=180$

solving for x, we have;

$\begin{gathered} 8x+6x+6x=180 \\ 20x=180 \\ x=\frac{180}{20} \\ x=9 \end{gathered}$

From the diagram,

$\begin{gathered} \measuredangle ABC=8x \\ \measuredangle ABC=8(9) \\ \measuredangle ABC=72^0 \end{gathered}$

Therefore, the measure of angle ABC is;

$m\measuredangle ABC=72^0$