Question

1. glass carlo dropped a piece of stained glass and the glass shattered. he picked up the piece shown on the left. he wanted to find the piece that was adjoining on the right. what should the measurement of the angle marked with a question mark be? how is that angle related to the angle marked 106°?

Explanation:

Step1: Recall angle - adjacent property

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

Step2: Calculate the unknown angle

Let the unknown angle be \(x\). We know that \(x + 106^{\circ}=180^{\circ}\), so \(x = 180^{\circ}-106^{\circ}\).
\(x = 74^{\circ}\)
The two angles are adjacent and supplementary (their sum is 180°).

Answer:

The measurement of the angle marked with a question - mark is \(74^{\circ}\). The angle is adjacent and supplementary to the angle marked \(106^{\circ}\).