Question

2. In Fig. 10.37, AB || CD and I transversal which intersects AB and CD at E and F, respectively. If angle2 : angle 1 = 5: 4, find the measure of each of the angles.​

Answer 1

Answer:

We know that AB∥CD and t is a transversal

from the figure we know that ∠AEF and ∠EFD are alternate angles

So we get

∠AEF=∠EFD

Dividing both side by 2 we get

2

1

∠AEF=

2

1

∠EFD

So we get

∠PEF=∠EFQ

The alternate interior angles are formed only when the transversal EF cuts both FQ and EP

Therefore it is proved that EP∥FQ

Answer 2

Answer:

10.37, AB || CD and I transversal which intersects AB and CD at E and F, respectively. If angle2 : angle 1 = 5: 4, find the measure of each of the angles.

Explanation: