Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°.

Step2: Set up an equation

Let the three angles of the triangle be 34°, 109°, and a. Then 34 + 109+a=180.

Step3: Solve the equation for a

First, add 34 and 109: 34 + 109 = 143. So the equation becomes 143+a=180. Then subtract 143 from both sides: a=180 - 143.
a = 37

Answer:

37