If three of the exterior angles of an equiangular polygon is total 90 degrees how many sides does the polygon have

Mathematics

1 answer:

kicyunya [14]3 years ago

7 0

Answer:

12 sides

Step-by-step explanation:

If the three equal angles add to 90, this means each of those angles must by 30 degrees.

Next, we can use the theorem that the sum of the exterior angles adds to 360 (this is true for any polygon). So, as the exterior angles are all equal to 30, we just work out 360 ÷ 30 = 12.

So the polygon has 12 angles, and therefore 12 sides also.

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Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1

Tamiku [17]

Answer:

$\frac{3}{2}t+15\leq 21$

Step-by-step explanation:

Let t represent the number of teachers.

We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.

Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.

$\text{Number of sheets given to 45 students}=45\times \frac{1}{3}$

$\text{Number of sheets given to 45 students}=15$

So, Noor gave 15 sheets to 45 students.

We have been given that Noor wants to give $1\frac{1}{2}=\frac{3}{2}$ sheet to each teachers, so the number of sheets given to t teachers will be $\frac{3}{2}t$ .