if the purple quadrilateral is a parallelogram what is 'a'?
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Answer:
a=120-84=36°
Step-by-step explanation:
In ΔPQR
∠P+∠R=132
∠R=132-48=84°
or ∠BRC=84°
Now AB||CD
So ∠RBA= ∠BRC=84
Thus a=120-84=36°
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Given,
∠Green = 120°
∠Yellow = 48°
∠Blue = 132°
To find,
∠a
Solution,
According to the question,
In ΔPQR,
∠P +∠R = 180° - ∠Yellow = 180° -48° = 132°
∠R = 132 - 48 = 84°
or ∠BRC = 84°
Now, AB || CD
So,
∠RBA = ∠BRC = 84°
⇒ ∠a = 120 - 84 = 36°
Hence, measure of ∠a is 36°.
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