138k views
4 votes
Given the regular polygon, what is the measure of each numbered angle?​​

Given the regular polygon, what is the measure of each numbered angle?​​-example-1
User John Owen
by
5.9k points

1 Answer

6 votes

Answer:

Answer A

Explanation:

Approach 1

B, C, and D are wrong because angles 1 and 2 are congruent.

Therefore your answer of both being 60°

Approach 2

Let x = angle 1.

360/x = 6

x = 60°.

Therefore Angle 1 is 60°

An interior angle of a hexagon is 120°

Let y = angle 2.

y is half of 120°

So 120/y = 2

y = 60°

User Gidrek
by
5.8k points