one of the angles of parallelogram is 42 degree. what is the sum of half the smallest angle and twice the largedt angle of parallelogram
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Answer:
Let x∘ be the smallest angle of the parallelogram.
According to the question, the largest angle is (2x∘−24∘).
It is known that the sum of the adjacent angles of the parallelogram is 180∘. Then,
x∘+2x∘−24∘=180∘
3x∘=180∘+24∘
3x∘=204∘
x∘=68∘
Therefore, the largest angle is (2(68∘)−24∘)=112∘.
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Answer:
Require sum =( 2 * 138 + 42/2)
= 279 degrees
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