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The easiest way (for me) to solve this type of question is to put it into an equation in terms of x.

Since one angle is 1/4 the size of the other, the two angles would be x and 1/4x, or 4x and x (I suggest using 4x and x).

Since the angles are supplementary, their sum is 180 degrees.

4x+x=180

5x=180

x=36 degrees

Q: What is the measure of the smaller of the two supplementary angles if the measure if the measure of one angle is one fourth the measure of the other angle?

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This is not a trapezoid. For all trapezoids (in plane Geometry), the two sets of side angles must be supplementary, or add to 180. No two angles given are supplementary.

It is: 47 degrees

It is 360 degrees minus the sum of the other three angles.

Subtract the (sum of the other three angles) from 360.

80 degree

Related questions

This is not a trapezoid. For all trapezoids (in plane Geometry), the two sets of side angles must be supplementary, or add to 180. No two angles given are supplementary.

Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.Calculate the fourth angle so that the sum of the angles is 360 degrees.

125°

160 degrees

4

It is: 47 degrees

In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle? 60° 90° 40° 20°

It is 360 degrees minus the sum of the other three angles.

Subtract the (sum of the other three angles) from 360.

50 degrees (360 degrees in a quadrilateral)

80 degree

The 4th angle is: 360-90-145-78 = 47 degrees