Question

If two angles of a hexagon are consecutive and four are congruent, what is the sum of the interior angles of the hexagon?

a) 720 degrees
b) 780 degrees
c) 840 degrees
d) 900 degrees

Answer 1

The sum of the interior angles of any hexagon is 720 degrees, calculated using the formula (n - 2) x 180° where n = 6, regardless of the properties of the angles being consecutive or congruent.

Step-by-step explanation:

The question concerns the sum of the interior angles of a hexagon. Regardless of whether angles are consecutive or congruent, the sum of the interior angles of any hexagon can be calculated using the formula (n - 2) × 180°, where n is the number of sides of the hexagon. In this case, for a hexagon (n = 6), the sum of the interior angles will be (6 - 2) × 180°.

Calculating this, we get:

• 4 × 180°
• = 720°

Therefore, the sum of the interior angles of a hexagon is 720 degrees. The correct answer is option (a) 720 degrees.

The sum of the interior angles of a hexagon can be found using the formula: sum = (n - 2) * 180 degrees, where n is the number of sides of the polygon. In this case, a hexagon has 6 sides. So, the sum of the interior angles of the hexagon is (6 - 2) * 180 degrees = 720 degrees. Therefore, the correct answer is (a) 720 degrees.