Question

in the given figure ab || cd || ef. if angle 1 + angle 4 = 75 then the value of (angle 2 + angle 3)/3 is

Answer 1

Answer:

Solution−

Since corresponding angles are equal.

→ x = y

We know that the that the interior angles on the same side of the transversal are 180.

→ y + 55 = 180°

→ 180° - 55° = 125°

So, x = y = 125°

Since AB || CD and CD || EF.

AB || EF

→ EAB + FEA = 180°

[Interior angles on the same side of the transversal EA are supplementary.]

→ 90° + z + 55° = 180°

→ z = 35°