Question

3. Two angles of a triangle are radian and radian. The measure of the third angle in degree (taking TI = (1) 1821 (3) 132, (2)182 (4132

11th - 12th Class

Maths

Solution

4.0 (1 ratings)

3. (3) Sum of two angles ( =frac{1}{2}+frac{1}{3}=frac{5}{6} ) radian ( therefore ) Third angle ( =left(pi-frac{5}{6}right) ) ra dian ( =frac{22}{7}-frac{5}{6}=frac{132-35}{42} ) ( =frac{97}{42} ) radians ( because pi ) radians ( =180^{circ} ) ( therefore frac{97}{42} ) radians ( =frac{180}{pi} times frac{97}{42} ) ( =frac{180 times 7 times 97}{22 times 42} ) ( =frac{1455}{11}=132 frac{3}{11} )