Quadrilateral A B C D, the measure of, angle A, angle B, angle C, angle D are a ratio of 1:2:3:4, respectively. Find the measure of the four angles. (Sketch)

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Mathematics

27 December, 16:51

Quadrilateral A B C D, the measure of, angle A, angle B, angle C, angle D are a ratio of 1:2:3:4, respectively. Find the measure of the four angles. (Sketch)

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Xavier Oconnell · Answer 1

Step-by-step explanation:

The angles of a quadrilateral have to add up to equal 360. That means that

1x + 2x + 3x + 4x = 360 and

10x = 360 so

x = 36. Then

2x = 72 and

3x = 108 and

4x = 144

Angle A and angle D are opposite angles, as are angles B and C. This is because opposite angles are supplementary.