Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, 60°+90°+(7x - 12)°=180°.

Step2: Simplify the left - hand side

Combine like terms: (60 + 90-12)+7x=180, which gives 138 + 7x=180.

Step3: Isolate the variable term

Subtract 138 from both sides: 7x=180 - 138, so 7x=42.

Step4: Solve for x

Divide both sides by 7: x = \frac{42}{7}=6.

Answer:

6