Question

daniel drew two adjacent angles to form a 98° angle. the measure of one of the angles is 57°. let m represent the measure of the second angle. which equation models the problem? m - 57 = 98 57 + m = 98 solve this equation to find the measure of the second angle.

Explanation:

Step1: Identify the correct equation

Adjacent angles that form a larger angle add up to the measure of the larger angle. So, the sum of the two angles (57° and \( m \)) should equal 98°. Thus, the equation is \( 57 + m = 98 \).

Step2: Solve for \( m \)

Subtract 57 from both sides of the equation \( 57 + m = 98 \):
\( m = 98 - 57 \)
\( m = 41 \)

Answer:

The correct equation is \( 57 + m = 98 \), and the measure of the second angle is \( 41^\circ \).