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QUESTION IMAGE

translate to a system of equations. do not solve. two angles are supple…

Question

translate to a system of equations. do not solve. two angles are supplementary. one angle is 3° less than twice the other. find the measures of the angles. let x and y be the angle measures with x > y. complete the equations. x + y = x = (simplify your answers.)

Explanation:

Step1: Use supplementary - angle property

Supplementary angles sum to 180 degrees. So, $x + y=180$.

Step2: Translate angle - relation

One angle ($x$) is 3 degrees less than twice the other ($y$). So, $x = 2y-3$.

Answer:

$x + y = 180$
$x=2y - 3$