In the given figure, m ǁ n, then the value of y is:
(a) 70°
(b) 35°
(c) 60°
(d) 40°

Answer:
Step-by-step explanation:
x + 60° = 180° ( interior angles )
[tex]x + {60}^{o} = {180}^{o} \\ x = {180}^{o} - {60}^{o} \\ x = {120}^{o} \\ [/tex]
x = z ( opposite angles )
z = 120°
y + 25° + 120° = 180°
(The sum of all interior angles of any triangle is equal to 180°)
[tex]y + {25}^{o} + {120}^{o} = {180}^{o} \\ y + {145}^{o} = {180}^{o} \\ y = {180}^{o} - {145}^{o} \\ y = {35}^{o} \\ [/tex]
The value of y in the given figure is (b) 35°
Since m||n, hence:
a + 60 = 180 (sum of consecutive interior angles formed by two parallel lines are supplementary)
a + 60 = 180
a = 120°
a = b (vertical opposite angles are congruent to each other)
120 = b
b = 120°
y + 25 + b = 180 (sum of angles in a triangle)
y + 25 + 120 = 180
y + 145 = 180
y = 35°
Hence the value of y is (b) 35°
Find out more at: https://brainly.com/question/17581080