Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators
MATHS
Asked by Prithika

Suppose the measures of the interior angles of a convex nonagon are nine numbers each separated by a value of 1 degree from its neighbors what is the measure of the third smallest angle?

In any shape, all internal angles must add up to 360°. If this was a regular nonagon (all internal angles are the same), each internal angle would be 360÷9=40°. We know that each internal angle is different from its neighbour by just 1°, so the internal angles must be 36°, 37°, 38°, 39°, 40°, 41°, 42°, 43° and 44°. (Check they all add up to 360°!) This means the answer to your question is 38°.

Beatrix's profile picture
Verified
Beatrix Huissoon
·

879 students helped

Similar Maths questions

Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators

Badge showing the text 'New'Learn Maths with Video Lessons

GCSE Maths - Numbers
1hr 28m · 8 videos
Paja's profile picture
Paja Kruzikova
·

442 students helped

GCSE Maths - Numbers
Quadratic Inequalities
28m · 3 videos
Iqbal's profile picture
Iqbal Lokman
·

1.3k students helped

Quadratic Inequalities
GCSE Maths - Ratios
1hr 32m · 9 videos
Paja's profile picture
Paja Kruzikova
·

442 students helped

GCSE Maths - Ratios
GCSE Maths - Algebra A
56m · 6 videos
Paja's profile picture
Paja Kruzikova
·

442 students helped

GCSE Maths - Algebra A

Premium video lessons available now on Scoodle

50% discount available

Scoodle's video lessons make learning easy and fun. Try it for yourself, the first lesson is free!