Two supplementary angles are in the ratio 2: 3. Find these angles.
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Step-by-step explanation:
ABCD is a parallelogram, Angle A and angle B =2:3
Angle A =2x, angle B=3x
adjacent interior angles are supplementary
angle A+angle B=180 degree
2x+3x=180 degree
5x=180 degree
angle A=72 degree, angle B=180 degree, angle C=72 degree, Angle D=180 degree
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Answer:
3x = 3×18 = 54°.
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