Question

20 points 4 questions!

Find k.

Classify this triangle as acute, right, or obtuse

The sum of a regular pentagon’s internal angles is 1440o. Find the number of degrees in each angle in the polygon

Photo is attached please give me correct answer, otherwise I must report them to get my points back for incorrect answers.

Answer 1

1) this is an acute triangle. When you add all of a triangles degrees together, it should equal 180. So, if you add the two degrees given, and subtract that from 180, you should get 88.3. 88.3<90, so the triangles acute.
2) 288 degrees. All you have to do is divide 1440 by 5. A pentagon has 5 angles, and if it's an equal pentagon, all the angles are the same measure.

Answer 2

Find k.
The sum of the angles in a triangle always equal to 180 degrees.
44.1+47.6+k=180
91.7+k=180
k= 88.3 degrees

Classify this triangle as acute, right, or obtuse.
It is an acute triangle because all of its angles are less than and not equal to 90 degrees.

The sum of a regular pentagon’s internal angles is 1440o. Find the number of degrees in each angle in the polygon.
Since it is a regular pentagon, it has equal angles. So the degrees of the total angles divided by the number of angles in the polygon.
1440/5
288 degrees in each angle.

Answers:
88.3 degrees
Acute triangle
288 degrees

Hope this helps :)