I am a regular polygon. Each of my exterior angles has a measure of 6 and 2/3 degrees. How many sides do I have?
1 answer:
You might be interested in
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
<u> Result</u>
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
<h2><u>x = 145</u></h2>