Question

Find the measure of angle W in the attached diagram and explain how you found it. Please provide diagram with an explanation if possible.

Answer 1

Angle w = 76°

Explanation:

To solve this problem we will complete the diagram first like the figure attached then find the measurement of w.

In the attached figure there are two parallel lines AB and CD.Two lines BC and AD are two transverse lines bisecting these parallel lines.

∠ABC = 35°, ∠ADC = 41°

From the figure attached ∠ADC = ∠BAD = 41° (Alternate angles)

Now we know sum of all angles of ΔAOB = 180°

Or ∠OAB +∠ABO +∠AOB = 180°

⇒ 41°+35°+∠AOB = 180°

⇒ ∠AOB = 180°-76° = 104°

And we know on line AD, ∠AOB+∠BOD = 180°

⇒ 104 + w = 180°

⇒ w = 180-104 = 76°

⇒ w = 76°

Answer 2

The measure of angle w is 76°

Explanation:

Please, see the attached file.

Thanks.