Question

l and m are parallel and p and q are transversal. find the value of a,b,c,d​

Answer 1

Answer:

Angle a = 100° ( Alternate Interior Angles )

Angle b = 180 - 100 = 80 ° ( Linear pair )

Angle c = 65 ° ( Alternate Interior Angles )

Angle d = 180 - 65 = 115 ° (Linear pair )

Hence , a = 100° , b = 80° , c = 65° & d = 115° .

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Answer 2

Answer:

1.

let's give 100° as name z

∠z =∠b(property of alternate angle)

so ,∠b= 100°

2.

∠a and ∠b are in linear pair

so linear pair

∠b = 100°

= ∠a + ∠b = 180° ( angle in linear pair )

∠a + ∠100° = 180°

∠a = 180° - 100°

∠a=80°

3.

let's give name to 65° as f

∠f = ∠c ( property of alternate angle )

∠f = 65°

then ∠c = 65°

4.

∠c = 65°

∠c + ∠d = 180° ( angle in linear pair )

65° + ∠d = 180°

∠d = 180° - 65°

∠ d= 115°