Question

find the value of unknown angle when angle b is 85°​

Answer 1

Answer :–

a = 95° , b = 85°, c = 85°, d = 95°, e = 95°, f = 85°, g = 85° and h = 95°

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Solution:–

Value of angle c :

Angle c = Angle b

(Vertically opposite angles)

Then the value of c = 85°

Value of angle a :

Angle c + Angle a = 180°

(Linear pair)

85° + Angle a = 180°

Angle a = 180° – 85°

Angle a = 95°

Value of angle d :

Angle d = Angle a

(Vertically opposite angles)

Angle d = 95°

Value of angle e :

Value of angle e = angle a

(Corresponding angles)

Angle e = 95°

Value of angle f :

Angle f = angle b

(Corresponding angles)

Angle f = 85°

Value of angle g :

Angle g = Angle f

(Vertically opposite angles)

Angle g = 85°

Value of angle h :

Angle h = Angle e

Angle h = 95°

Therefore, a = 95° , b = 85°, c = 85°, d = 95°, e = 95°, f = 85°, g = 85° and h = 95°