Question

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, 50°+85° + 5a=180°.

Step2: Simplify the left - hand side

50 + 85+5a=135 + 5a. So, 135 + 5a=180.

Step3: Isolate the variable term

Subtract 135 from both sides: 5a=180 - 135.
180−135 = 45, so 5a=45.

Step4: Solve for a

Divide both sides by 5: a = \frac{45}{5}=9.

Answer:

9