Question

the diagram shows a triangle. what is the value of a? a =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 11a + 12a+7a = 180.

Step2: Combine like - terms

(11 + 12+7)a=180, which simplifies to 30a = 180.

Step3: Solve for a

Divide both sides of the equation 30a = 180 by 30. So, a=\frac{180}{30}=6.

Answer:

6