Answer:
a = 60
60°, 60°, 120°, and 120°
Step-by-step explanation:
So we know that the sum of the angle measures of the quadrilateral is 360° and that the four angle measures are a, 2a, a, and 2a. This means that the sum of a, 2a, a, and 2a should equal 360.
a + 2a + a + 2a = 360
Combine like terms.
6a = 360
Divide both sides by 6.
a = 60
So the value of a would be 60.
Now to find the angle measures from least to greatest, we would have to find the values of a, 2a, a, and 2a.
a = 60
2a = 120
a = 60
2a = 120
So the angle measures from least to greatest is 60°, 60°, 120°, and 120°.
I hope you find my answer and explanation to be helpful. Happy studying.
