Question

The figure shows a pattern of a regular hexagon and equilateral triangles.



Which of the following describes the correct method to find the measure of angle y?

Answer 1

The sum of the measures of the angles about a vertex is 2y + the sum of two interior angles of the triangle. y = (360°- 240°) ÷ 2.

The sum of an interior angle of the hexagon and an interior angle of an equilateral triangle is 360°. y = 360° – 60°.

The sum of an interior angle of the hexagon and an interior angle of each of two equilateral triangles is 180°. y = 180° – 120°.

The sum of 2y and an interior angle of each of two equilateral triangles is 360°. y = (360°- 120°) ÷ 2