In the quadrilateral ABCD angle a measures 120 degree angle D is two - third of angle C and Angle B measures 90 degree. Find the measure of angle C and angle D ?
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Step-by-step explanation:
Let the angle C be x
Then the angle D be 2/3x
120°+90°+x+2/3x=360°
210°+3x+2x/3=360°
210°+5x/3=360°
5x/3=360°-210°
5x/3=150°
5x=150°×3
x=150°×3/5
x=90°
Therefore angle C= 90°
and angle D=2/3x
= 2/3×90
= 60°
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Step-by-step explanation:
answer is 60 degree and explaination is given above
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