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  • The three angles of a quadrilateral are <img alt="60^{\circ}, 60^{g} \text {and}\: \frac{5 \pi}{6}" src="https://entrancecorner.oncodecogs.com/gif.latex?60%5E%7B%5Ccirc%7D%2C%2060%5E%7Bg%

The three angles of a quadrilateral are 60^{\circ}, 60^{g} \text {and}\: \frac{5 \pi}{6}, if fourth angle is \lambda^{\circ}, then the value of \lambda must be

 

Option: 1

92


Option: 2

90


Option: 3

96

 


Option: 4

91


Answers (1)

best_answer

\because \text { First angle }=60^{\circ}, \text { second angle }=60^g =\left(60 \times \frac{90}{100}\right)=54^{\circ}

Third angle =\left(\frac{5 \pi}{6} \times \frac{180}{\pi}\right)=150^{\circ}

\therefore \text { Fourth angle }=360^{\circ}-\left(60^{\circ}+54^{\circ}+150^{\circ}\right)

                                      \begin{array}{rlrl} & =96^{\circ}=\lambda^{\circ} \: \: \: \: \: \: \: \: \: \: \: \: (\text{given})\\ \therefore \lambda & =96 \end{array}

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