Question

Find the value of a. Then find the angle measures of the quadrilateral.

(22° 20°)
Sum of angle
measures: 360°
a =
and
The angle measures from least to greatest are...

Answer 1

a = 60°

The angle measures from least to greatest are 60°, 60°, 120°, 120°.

The value of a and then determine the angle measures of the quadrilateral.

a° + a° + 2a° + 2a° = 360°
6a = 360°

a = 360°/6

a = 60°.

The angle measures are 60°, 60°, 120°, 120°.
Therefore, a = 60° and the angle measures from least to greatest are 60°, 60°, 120°, 120°.

Answer 2

a = 60°

60°, 60°, 120°, and 120°.

Explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.