Explanation:

Let’s break this down:

- In triangle ABC, angles B and C add up to 100°, so ?A = 80°.

- AD is drawn perpendicular to BC. AE is the angle bisector of ?A, so it makes two 40° angles at A.

- We’re supposed to find the angle between AD (altitude) and AE (angle bisector), i.e., ?DAE.

So, what does this mean?

- At vertex A, AE splits the 80° into two 40° angles.

- AD isn't generally aligned with either side; it's perpendicular to BC.

- Now, the real trick: the angle between the altitude (AD) and the angle bisector (AE) is half the difference of the angles at B and C—that is, (70° - 30°)/2 = 20°.

Let’s check options:

- Option 1: 24° — not right

- Option 2: 10° — not right

- Option 3: 15° — not right

- Option 4: 20° — that’s the one.