Question

Find the given angle measure for regular hexagon ABCDEF.

Answer 1

Answer:

Question 12: 60°

Question 13: 30°

Question 14: 60°

Question 15: 120°

Step-by-step explanation:

Question 12: The measure of a circle is 360°, so ∠CGD which is $\frac{1}{6}$ of a full rotation is 60°.

Question 13: ∠CGH is $\frac{1}{2}$ of ∠CGD, so its angle measure is 30°.

Question 14: Since the interior sum of all angles in a triangle is 180° and two angles have measures of 90° and 30°, that means ∠HCG has a measure of 60°.

Question 15: Since ∠EGC is $\frac{1}{3}$ of a full rotation, and is twice as great as ∠CGD, that means it has an angle measure of 120°.