Question

find the value of a. * 1 point your answer

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

We have two angles of measure \(a^{\circ}\) and one angle of measure 108° and a right - angle (90°) at the point. So, \(2a + 108+90 = 360\).

Step3: Simplify the equation

First, combine the constant terms: \(2a+198 = 360\). Then, subtract 198 from both sides: \(2a=360 - 198\), so \(2a = 162\).

Step4: Solve for \(a\)

Divide both sides of the equation \(2a = 162\) by 2. We get \(a=\frac{162}{2}=81\).

Answer:

81