Find the angles of a parallelogram in which an exterior angle is one-third that its interior angle.

The angles of a parallelogram are 135°-45°-135°-45°

Step-by-step explanation:

we know that

In a parallelogram opposites angles are congruent and consecutive angles are supplementary

Remember that  

The sum of a exterior angle and its interior angle is equal to 180 degrees

Let

x ----> the measure of one interior angle of parallelogram

y ----> the measure of the other interior angle of  parallelogram

we have that

solve for x

Find the measure of the other interior angle of parallelogram

Remember that consecutive interior angles are supplementary

substitute the value of x

solve for y

therefore

The angles of a parallelogram are 135°-45°-135°-45°

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0

the answer is c hope it

step-by-step explanation: