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°.

Step2: Set up the equation

Let the three angles of the triangle be 34°, 108°, and \(a\). Then \(34 + 108+a=180\).

Step3: Solve for \(a\)

First, add 34 and 108: \(34 + 108=142\). Then the equation becomes \(142 + a=180\). Subtract 142 from both sides: \(a=180 - 142\). So \(a = 38\).

Answer:

38