The value of y is 26.
Explanation:
When 2 angles are called as linear and adjacent formed by crossover of two lines, then the measurement of straight angle is equal to 180 degrees.
A pair of linear angles added to produce 180 degrees.
m ∠ACD + m ∠DCB = 180°
(5y+3)° + (2y-5)° = 180°
Grouping the terms on the same side as,
5y+ 2y + 3°-5°= 180°
5y + 2y = 180°- 3°+5°
7y = 182°
Dividing by 7 on both sides, we will get,
y =
= 26
So the value of y is 26.