Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 3

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

We have a right - triangle with angles 90°, 60°, and (6x + 6)°. So, 90+60+(6x + 6)=180.

Step3: Simplify the left - hand side of the equation

First, combine like terms: 90+60 + 6x+6=150 + 6x+6=156+6x.
So, the equation becomes 156 + 6x=180.

Step4: Solve for x

Subtract 156 from both sides: 6x=180 - 156.
6x=24.
Divide both sides by 6: x = $\frac{24}{6}$=4.

Answer:

4