Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 79°+71° + 6a=180°.

Step2: Simplify the left - hand side of the equation

79 + 71=150, so the equation becomes 150+6a = 180.

Step3: Isolate the variable term

Subtract 150 from both sides: 6a=180 - 150, which gives 6a = 30.

Step4: Solve for a

Divide both sides by 6: a=$\frac{30}{6}$=5.

Answer:

5