Question

Find y in the given diagram if AB || CD, EF || AC and ∠ADC = 58°.

Answer 1

Given:

AB || CD

EF || AC

∠ADC = 58°

In the diagram, since AB || CD and EF || AC, we use properties of parallel lines and corresponding angles:

1. ∠ADC and ∠EFA are corresponding angles because EF || AC.

2. Therefore, ∠EFA = ∠ADC = 58°.

Since y is the angle at E and EF || AC, y is equal to ∠EFA.

Thus, y = 58°.

So, the value of y is 58 degrees.