Question

Find the measure of angle 1.

A) 30 degrees
B) 15 degrees
C) 45 degrees
D) 60 degrees

Answer 1

Brb, I'm getting something to draw with

Answer 2

Okie

Answer 3

I started this knowing hexagon's angles total 720 degrees

Answer 4

So each individual angle is 120 degrees

Answer 5

Angle 3 is half of one of the hexagons corners, so it is 60 degrees

Answer 6

Angle 3 is part of a right triangle, and with it being 60 degrees....

Answer 7

We have a 30-60-90 triangle (180 degrees in a triangle)

Answer 8

In other words, angle 2 is 30 degrees.

Answer 9

Angle 2 is half of the top angle in the triangle highlighted in black

Answer 10

So the angle at the top of the black traingle is 60 degrees

Answer 11

Hexagons are consistent, so all of its angles around the center are the same size

Answer 12

Angle 1 is 60 degrees

Answer 13

One day this thought process will take a few seconds

Answer 14

So therefore angle 1 equals to 60 degrees?

Answer 15

Yes

Answer 16

Thanks. :)