If the red line divides the parallelogram such that a is 1/3 rd of b and 2/3 rd of c, what is the measure of d?
with explanation
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d = 112.5 degrees.....
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Answer:
d=112.5 degrees
Step-by-step explanation:
a= 1/3b. a=2/3c
b= 3a. c= 3a/2
as. abcd is parallelogram
c+d =180 degrees
3a/2 +d = 180 degrees
sum of angles in a quadralateral in AFED
a+b+c+d = 360 degrees
a +3a+3a/2-3a/2 +180 degrees = 360 degrees
a+3a = 360 degrees -180 degrees
4a =180 degrees
a= 180 degrees/4
a = 45 degrees
d= 180 degrees -39/2
= 180 - 3 × 45/2
=180-135/2
=225/2
d=112.5 degrees
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