In triangle ABC, we are given that `3 sin A +4 cos B=6` and `4 sin B+3 cos A=1`. Then the measure of the angle C is -A. `30^(@)`B. `150^(@)`C. `60^(@)`D. `75^(@)`

In triangle ABC, we are given that `3 sin A +4 cos B=6` and `4 sin B+3

1.	In triangle ABC, we are given that `3 sin A +4 cos B=6` and `4 sin B+3 cos A=1`. Then the measure of the angle C is -A. `30^(@)`B. `150^(@)`C. `60^(@)`D. `75^(@)`
Answer» Correct Answer - A Square & add both equations `9+16+24 sin (A+B)=37` `sin (A+B)=1/2 rArr A+B=pi/6 rArr C=(5pi)/6` (wrong) `rArr A+B=(5pi)/6 rArr C=pi/6` because `C=(5pi)/6` does not follow equation `3 sin A + 4 cos B =6`

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In triangle ABC, we are given that `3 sin A +4 cos B=6` and `4 sin B+3 cos A=1`. Then the measure of the angle C is -A. `30^(@)`B. `150^(@)`C. `60^(@)`D. `75^(@)`

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