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

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, 33°+57° + 6a=180°.

Step2: Simplify left - hand side

First, add 33° and 57°: 33 + 57=90. The equation becomes 90+6a = 180.

Step3: Isolate the variable term

Subtract 90 from both sides of the equation: 6a=180 - 90. So, 6a = 90.

Step4: Solve for a

Divide both sides by 6: a=\frac{90}{6}=15.

Answer:

15