If the sum and difference of two angles are 135° and $$\frac{\pi }{{12}}$$ respectively, then the value of the angles in degree measure are?
A. 70°, 65°
B. 75°, 60°
C. 45°, 90°
D. 80°, 55°
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \angle {\text{A}} + \angle {\text{B}} = {135^ \circ }\,.....(i) \cr & \angle {\text{A}} - \angle {\text{B}} = \frac{\pi }{{12}} = {15^ \circ }\,.....(ii) \cr & Adding{\text{ both equations}} \cr & \Rightarrow 2\angle {\text{A}} = {150^ \circ } \cr & \Rightarrow \angle {\text{A}} = {75^ \circ } \cr & \therefore \angle {\text{B}} = {60^ \circ } \cr} $$Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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