Question

If one of the angles of a parallelogram is 21 degree less than twice the smallest angle then the measure of the largest angle of the parallelogram is

Answer 1

Step-by-step explanation:

Opposite angles are congruent.

Adjacent angles are supplementary.

So the 4 angles of parallelogram are: x , 180−x , x , 180−x .

Let x be the smaller angle. Angle that is 24 degrees less than twice the smaller angle has measure: 2x−24 .

Case 1: Smaller angle (x) is is 24 degrees less than twice the smaller angle.

x=2x−24−x=−24x=24180−x=156

Case 2: Larger angle (180-x) is 24 degrees less than twice the smaller angle.

180−x=2x−24−3x=−204x=68180−x=112

Answer:

Smaller angle is 24∘ or 68∘

Answer 2

Answer:

113degrees

Step-by-step explanation:

Let the smallest angle be X.

thus,largest angle = 2x-21

now,x +2x-21=180

X=67