Question

two supplementary Angles are (2y - 7° ) and (3y + 2°) . find the value of y​

Answer 1

Answer: 37 deg

Step-by-step explanation:

Supplementary angles add up to 180

180 = 2y - 7 + 3y + 2

180 = 5y - 5

185 = 5y

y = 185/5 = 37

Answer 2

To find : the value of $y$ .

Given : (2y - 7° ) and (3y + 2°) , are supplementary angles .

Solution :

• when sum of measurement of two angles is $180$° then these angles are called as supplementary angles.
• Therefore , according to question we write given condition  as :
• ( $2y -$ $7$° $)$ + $(3y +$ $2$°$) =$$180$°

                $5y -$ $5$° $= 180$°

                 $5y = 180$° $+\ 5$°

                   $y = \frac{185}{5}$

                    $y =$ $37$°

Hence , the value of $y$ is $37$° .