Question

what is the measure of angle a in degrees? find the value of z.

Explanation:

Step1: Recall angle - addition property

Adjacent angles on a straight - line sum to 180°.

Step2: Set up the equation

Let the given angle be 83° and the unknown angle be \(a\). So, \(a + 83^{\circ}=180^{\circ}\).

Step3: Solve for \(a\)

Subtract 83° from both sides of the equation: \(a=180^{\circ}- 83^{\circ}\).
\(a = 97^{\circ}\)

Answer:

\(a = 97\)