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

In The Given Figure M ǁ N Then The Value Of Y Is A 70 B 35 C 60 D 40 class=

Sagot :

rlesandisusanya

Answer:

(b) 35°

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]

View image rlesandisusanya
raphealnwobi

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

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