Question

Can you please help solve this?

Answer 1

The reason for
`\(m\angle DAE = 60^\circ\)` is that corresponding angles formed by a transversal intersecting parallel lines are congruent.

It seems like you've described a diagram with a triangle ADE and a parallelogram ADCB where AD is congruent to AE, BA is parallel to CE, CB is parallel to DA, and the measure of angle BCD is given as 60°. To find the measure of angle DAE, let's consider the given information:

1. Triangle ADE is formed by the sides AD, AE, and DE.

2. Parallelogram ADCB has opposite sides that are parallel, so angle BCD is also the interior angle formed by parallel lines BA and CE.

Since triangle ADE is formed by sides AD and AE, and BA is parallel to CE, it implies that angle DAE and angle BCD are corresponding angles, and they are congruent.

Therefore,
`\(m\angle DAE = m\angle BCD = 60^\circ\).`

The reason for
`\(m\angle DAE = 60^\circ\)` is that corresponding angles formed by a transversal intersecting parallel lines are congruent.