Question 151

If the sum and difference of two angles are 22/9 radian and 36° respectively, then the value of smaller angle in degree taking the value of $$\pi$$ as 22/7 is :

Solution

NOTE :- 1 radian = $$\frac{360^{\circ}}{2\pi}$$

=> $$\frac{22}{9}$$ radian = $$\frac{22}{9} * \frac{360^{\circ}}{2\pi}$$

=> $$\frac{22}{9}$$ radian = $$\frac{22 * 360 * 7}{9 * 2 * 22}$$

=> $$\frac{22}{9}$$ radian = 140°

Now, let the two angles be $$x$$ and $$y$$

=> $$x + y = 140^{\circ}$$ and $$x - y = 36^{\circ}$$

Solving above equations, we get :

$$x$$ = 88° and $$y$$ = 52°

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