If \( \Large \alpha \), \( \Large \beta \) and \( \Large \gamma \) are acute angled such that \( \Large sin \ \alpha=\frac{\sqrt{3}}{2} \ cos \ \beta=\frac{\sqrt{3}}{2} \) and tan r=1 then what is \( \Large \alpha + \beta + \gamma \) equal to?

A) 105 degree

B) 120 degree

C) 135 degree

D) 150 degree

Correct answer:
C) 135 degree

Description for Correct answer:

\( \Large sin \ \alpha =\frac{\sqrt{3}}{2} \)

\( \Large \alpha =60 ^{\circ} \)

\( \Large cos \ \beta =\frac{\sqrt{3}}{2} \)

\( \Large \beta =30 ^{\circ} \)

\( \Large tan \gamma=1 \)

\( \gamma=45  ^{\circ} \)

so, \( \Large \alpha + \beta + \gamma=60 ^{\circ} +30 ^{\circ} +45 ^{\circ} =135 ^{\circ} \)



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