Question

In parallelogram ABCD, if angle C=110 and angle D=70, what is the sum of the measures of angle A and angle B?

Answer 1

The answer is 180 degrees because...

angle A + angle B + 180˚ = 2 * 108˚

angle A + angle B = 3

angle A + angle B = 180˚  60˚ - 180˚

Hope this helps, have a BLESSED and wonderful day! As well as as a safe one! :-)

-Cutiepatutie ☺❀❤

Answer 2

To solve this problem, we must remember that the sum of interior angle of a polygon is:

Sum of interior angles = (n – 2) * 180˚

So, we can say that:

Sum of interior angles = angle A + angle B + angle C + angle D = (4 – 2) * 180˚

Where,

angle C + angle D = 110 + 70 = 180˚

Therefore substituting this value:

angle A + angle B + 180˚ = 2 * 108˚

angle A + angle B = 360˚ - 180˚

angle A + angle B = 180˚            (answer)

 

Hence we can also conclude that,

angle A + angle B = angle C + angle D