Robert drew a parallelogram with two 55-degree angles.What are the measures of the other two angles?
(360 - 110)/2 = 125
http://www.mathsisfun.com/quadrilaterals.html
The sum of the angles = 360
paralleograms have pairs of equal angles.
You have 110 degrees so far.
Now can you find the other two angles?
math
To find the measures of the other two angles of the parallelogram, we need to use the properties of parallelograms.
1. The opposite angles of a parallelogram are congruent. Since two angles are already known to be 55 degrees, the opposite angles will also be 55 degrees.
2. The sum of the interior angles of a parallelogram is 360 degrees. Therefore, the sum of the four angles of the parallelogram is 360 degrees.
Let's calculate the measures of the other two angles:
Angle 1: 55 degrees
Angle 2: 55 degrees
Angle 3: ?
Angle 4: ?
Using the property of opposite angles being congruent, we can conclude that Angle 3 is also 55 degrees.
Now, we can find the measure of Angle 4 by subtracting the sum of the measures of the other three angles from 360 degrees:
Sum of the other three angles = Angle 1 + Angle 2 + Angle 3 = 55 + 55 + 55 = 165 degrees
Angle 4 = 360 - Sum of the other three angles = 360 - 165 = 195 degrees
Therefore, the measures of the other two angles in the parallelogram are both 55 degrees and 195 degrees.