Answer:
y = 26°
Step-by-step explanation:
In order to solve for the value of y, add the two given supplementary angles and set them to equal 180°:
(2y + 1)° + (5y - 3)° = 180°
7y - 2 = 180°
Add 2 to both sides of the equation:
7y - 2 + 2 = 180° + 2
7y = 182°
Divide both sides by 7:
[tex]\frac{7y}{7} = \frac{182}{7}[/tex]
y = 26°
The measures of the two given angles are:
m < (2y + 1)° = 2(26) + 1 = 53°
m < (5y - 3)° = 5(26) - 3 = 127°
53° + 127° = 180°
180° = 180°
