Question

two angles are supplementary. the smaller angle is 40 degrees less than the larger angle. what is the measurement of the larger angle? be precise in the measurement, including any decimal value. you only need to enter the value for the angle. no other symbols or unit information needed. review the linked section of the prealgebra textbook for problem help

Explanation:

Step1: Set up equations

Let the larger angle be \( x \) degrees. Then the smaller angle is \( x - 40 \) degrees. Since they are supplementary, \( x+(x - 40)=180 \).

Step2: Solve the equation

Simplify the left - hand side: \( 2x-40 = 180 \). Add 40 to both sides: \( 2x=180 + 40=220 \). Divide both sides by 2: \( x=\frac{220}{2}=110 \).

Answer:

110