Question

Find the size of the angles of a parallelogram
if one angle is 20° less than twice the smallest
angle.​

Answer 1

Answer:

angle A: 113.33 °

angle B: 66.67 °

Step-by-step explanation:

parallelogram rule : 2A + 2B = 360 °

so if we take A as the bigger angle, then A= 20 ° less than double of B. this can be written as A= 2B-20°

now if we add that into the previous equation it will be like:

2(2B-20) +2B =360

now simplify:

4B-40 +2B= 360

6B=400

B= 66.67°

then if we substitute B into the original equation: 2A + 2(66.67) = 360 then simplify

2A= 226.67

A= 113.33°

Hope this helps