in a parallelogram one angle is 9 times the size of another find the measure of the angle
16,180
18,162
20,120
24,134

Question

in a parallelogram one angle is 9 times the size of another find the measure of the angle 
16,180
18,162
20,120
24,134

mathstudent55 · Answer

In a parallelogram, opposite sides are congruent. This means there are only two possibilities about the angle measures:
1. If the parallelogram is a rectangle, all angles measure 90 degrees.
2. If the parallelogram is not a rectangle, two angles have one measure and two angles have a different measure.
You have case 2. Also, in a quadrilateral, the sum of the measurements of all interior angles is 360.
Let smaller angle measure x. Then larger angle measures 9x.
The sum of the measures of all 4 angles is 360, so you have
x + x + 9x + 9x = 360
Solve the equation for x. That will be one measure. Then multiply it by nine to get the other.