If the ratio of consecutive angles in a parallelogram is 1:5, what is the measure of the larger angle?

1 Answer
Jan 17, 2018

Measure of larger angle = 150°#

Explanation:

Sum of the consecutive angles of a parallelogram is supplementary since the opposite sides are parallel

Given : Larger angle is five times the smaller angle

Let the smaller angle be 'x'

Then the larger angle = 5x

Since they are supplementary,

#x + 5x = 180°#

#6x = 180°#

#x = 180 / 6 = 30°#

Measure of larger angle #5x = 5 * 30 = 150°#