Question

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

Answer 1

The measure of angle ABC is;

`m\measuredangle ABC=72^0`

Step-by-step 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=(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`