Question

brody drew two adjacent angles that form a right angle. the measure of one of the angles is 43°. let m represent the measure of the second angle. which equation models the problem? m - 43 = 90 43 + m = 90 solve this equation to find the measure of the second angle.

Explanation:

Step1: Determine the equation

Adjacent angles forming a right - angle (90°). If one angle is 43° and the other is \(m\), then the sum of the two angles is 90°. So the equation is \(43 + m=90\).

Step2: Solve the equation for \(m\)

Subtract 43 from both sides of the equation \(43 + m=90\).
\(m=90 - 43\)
\(m = 47\)

Answer:

The equation that models the problem is \(43 + m = 90\), and the measure of the second angle \(m = 47^{\circ}\)