Question

Parallelogram P Q R S. Angle P is 116 degrees. Angle R is opposite to angle P. What are the measures of the three remaining angles? Measure of angle Q = 116 degrees, Measure of angle R = 64 degrees, Measure of angle S = 64 degrees Measure of angle Q = 116 degrees, Measure of angle R = 116 degrees, Measure of angle S = 116 degrees Measure of angle Q = 64 degrees, Measure of angle R = 64 degrees, Measure of angle S = 64 degrees Measure of angle Q = 64 degrees, Measure of angle R = 116 degrees, Measure of angle S = 64 degrees

Answer 1

Q = 64

R = 116

S = 64

Explanation:

For a quadrilateral (like a parallelogram), all 4 interior (inside) angles will always equal 360. Opposite angles are equal. So Angle P = Angle R. Since P = 116, R = 116.

So set up an equation where all 4 angles = 360 and solve for the remaining 2. I attached a pic showing my work and a pic of the parallelogram.