Question

an observer found the measure of the angle from the ground to the top of a building from two different locations shown. what is the measure of angle a? what is the measure of angle b? done

Explanation:

Step1: Determine angle \( A \)

Since \( A \) and the \( 42^{\circ} \) angle are supplementary (they form a linear pair), we use the formula \( A = 180^{\circ}-42^{\circ} \)

$$A = 138^{\circ}$$

Step2: Determine angle \( B \)

First, note that \( B \) and the \( 35^{\circ} \) angle are supplementary (they form a linear pair). We use the formula \( B = 180^{\circ}-35^{\circ} \)

$$B = 145^{\circ}$$

Answer:

The measure of angle \( A \) is \( 138^{\circ} \). The measure of angle \( B \) is \( 145^{\circ} \).