Math, asked by anitajadhavprajapati, 9 months ago

1. In the adjoining figure line e ║ line m║ line n.

Line k is the transversal∠a : ∠b = 5 :7

then find the measure of ∠c​

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Answers

Answered by VasudevReji
2

Answer:

105°

Step-by-step explanation:

5x +7x =12x =180°

x=15.

a=15x5=75 and b=105

c=180-a(angles on same side of transversal)

c=180-75=105°

so c=105°

Answered by xxxxxxx75
6

Answer:

given : e || m || n

a:b = 5:7

a=5x ; b=7x

we know,

(from e || m)

b = c ( interior opposite angles)

also,

(from m || n)

angle a + angle c = 180° (corresponding angles)

then, (substituting values)

5x + 7x =180°

12x = 180°

X = 180/12= 15

a = 5*15= 75 ; c= 7*15= 105

(and angle b= 105, since b=c)

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