Question

The measures of two supplementary angles are described by the expressions (9y−5)° and (19y−11)°. Find the measures of the angles.............. I know that the Supplementary angles = 180 degreesand the sum of these two angles will equal 180 I'm guessing I'm finding y for both to get the answer but I'm lost

Answer 1

58° and 122°

Explanation:

The sum of both angles is equal to 180°, therefore, we can establish the following equation:

`9y-5+19y-11=180`

We solve for y, just like this:

`\begin{gathered} 28y=180+5+11 \\ y=(196)/(28) \\ y=7 \end{gathered}`

Therefore, we calculate the value of each angle, knowing the value of y:

`\begin{gathered} \alpha=9\cdot7-5=58\text{\degree} \\ \beta=19\cdot7-11=122\text{\degree} \end{gathered}`

Therefore, the angles measure 58° and 122°