Question

One way to build a staircase is to attach triangular blocks to an angled support, as shown above. If the support makes a 32 angle with the floor, what must the measure of angle 1 be so that the steps are parallel to the floor?

Answer 1

Angle 1 is an alternate interion angle to the angle of 32°.
Therefore, angle 1 must be 32°.

Answer 2

Answer: m∠1 = 32°

Explanation:

Since we have given that

The angled support making angle with the floor = 32°

So, we need to find the measure of angle 1 so that the steps are parallel to the floor.

As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."

So, m∠1 = 32° ( the angled support making angle with the floor)

Hence, m∠1 = 32°