Question

one way to build stairs is to attach triangular blocks to an angled support, as shown on the right. if the support makes a 32 degree angle with the floor (m<2), what must m<1 be so step will be parallel to the floor? the sides of the angled support are parallel.
Please answer the question above

Answer 1

Answer:  m∠1 = 32°

Step-by-step 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°

Answer 2

m∠1 = 32°

Step-by-step explanation:

• Given that the support makes an angle 32° with the floor. Therefore, m∠2 = 32° since they are alternate angles with the support lines being parallel to each other.
• Again, the triangles are congruent, with side-angle-side axiom of congruency of triangles, since the triangles are right angled triangles, they are on the same bases and stairs always are of the same length, which gives another reason for the angles being equal.
• Again, m∠1 =m∠2 since they are corresponding angles of congruent triangles.
• So, m∠1 must be equal to 32°.

Hence, m∠1 = 32°.

Learn more examples on angles

https://brainly.in/question/18989036?msp_srt_exp=5

Learn about alternate angles

https://brainly.in/question/28255546?msp_srt_exp=5