Question

1. (129) all angles are congruent. 12. (121) use the inch ruler below to measure the distance (in inches) between point p and line n. a. approximately 1 - 1/4 inches b. approximately 1 - 3/4 inches c. approximately 3/4 of an inch d. approximately 2 inches e. approximately 1 inch 13. (116) find the measures of the complement and the supplement of angle m∠ace = 71.

Explanation:

12.

Step1: Observe the ruler

By looking at the inch - ruler, we can estimate the distance from point \(P\) to line \(n\). The distance appears to be approximately \(1\frac{1}{4}\) inches.

Step1: Recall angle - related definitions

The complement of an angle \(\theta\) is \(90^{\circ}-\theta\), and the supplement is \(180^{\circ}-\theta\). Given \(\angle ACE = 71^{\circ}\).

Step2: Calculate the complement

The complement of \(\angle ACE\) is \(90 - 71=19^{\circ}\).

Step3: Calculate the supplement

The supplement of \(\angle ACE\) is \(180 - 71 = 109^{\circ}\).

Answer:

A. approximately \(1\frac{1}{4}\) inches

13.