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Brody drew two adjacent angles that form a right angle. The measure of one of the angles is $43^\circ$ . $\newline$ Let $m$ represent the measure of the second angle. Which equation models the problem? $\newline$ Choices: $\newline$ (A) $43 + m = 90$ $\newline$ (B) $m - 43 = 90$ $\newline$ Solve this equation to find the measure of the second angle. $\newline$ ____ $^\circ$

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Area of quadrilaterals and triangles: word problems

Full solution

Q. Brody drew two adjacent angles that form a right angle. The measure of one of the angles is

43^\circ

.

\newline

Let

m

represent the measure of the second angle. Which equation models the problem?

\newline

Choices:

\newline

(A)

43 + m = 90

\newline

(B)

m - 43 = 90

\newline

Solve this equation to find the measure of the second angle.

\newline

____

^\circ

Understand the problem: Step $1$ : Understand the problem and set up the equation. $\newline$ Since the two angles form a right angle, their sum must be $90°$ . Given one angle is $43°$ , let $m$ be the measure of the second angle. The correct equation to model this situation is: $\newline$ $43 + m = 90$
Set up equation: Step $2$ : Solve the equation for $m$ . $\newline$ Subtract $43$ from both sides to isolate $m$ : $\newline$ $43 + m - 43 = 90 - 43$ $\newline$ $m = 47$

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