Question

The angles of a hexagon are in the ratio 1: 2: 3: 4: 6: 8. Find the measure of the smallest and the biggest angles. A) Smallest angle: 30 degrees, Biggest angle: 120 degrees B) Smallest angle: 20 degrees, Biggest angle: 160 degrees C) Smallest angle: 15 degrees, Biggest angle: 105 degrees D) Smallest angle: 10 degrees, Biggest angle: 80 degrees

Answer 1

To find the measure of the smallest and biggest angles of a hexagon with given ratios, we can calculate the average angle measure and then multiply each ratio by the average to find the corresponding angle measures.

Step-by-step explanation:

To find the measure of the smallest and biggest angles of a hexagon, we need to find the sum of the angle measures and then divide by 6 to find the average angle measure. Then, we can multiply each ratio by the average angle measure to find the corresponding angle measures.

The smallest angle will be the one with the ratio of 1, and the biggest angle will be the one with the ratio of 8.

Let's calculate:

Average angle measure = (1 + 2 + 3 + 4 + 6 + 8) / 6

= 24 / 6

= 4 degrees

Smallest angle = 1 * 4 = 4 degrees

Biggest angle = 8 * 4 = 32 degrees

Therefore, the measure of the smallest angle is 4 degrees and the measure of the biggest angle is 32 degrees.

Learn more about Hexagon Angles