Math, asked by arnavjais77, 4 months ago

If one angle of a parallelogram is 21° less than twice the smallest angle, then the measure of the largest angle of a parallelogram is

Answers

Answered by Elsa2112
1

Answer:

113°

Step-by-step explanation:

Let  \: the \:  smallest \:  angle  \: be \:  x  \\ </p><p>then, \: the  \: largest \:  angle \:  will \:  be =180−x \\ </p><p>but, the \:  same \:  equals \:  to [2x−21] \\ </p><p>so  \: we \:  have [2x−21]=180−x  \\ </p><p>3x=201 \\ </p><p>x=67</p><p></p><p>thus \:  the \:  largest \:  angle \:  180−67=113 degree</p><p></p><p>

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