25. An angle is 10° more than one t...
Question

# 25. An angle is 10° more than one third of its complement. find the greater angle. RRB NTPC (Phase I) 2016 (1) 30° (2) 60° (3) 45° (4) 75°

11th - 12th Class
Maths
Solution
138
4.0 (1 ratings)
25. (2) According to the question, [ begin{aligned} x &=left(90^{circ}-xright) times frac{1}{3}+10^{circ} 3 x &=90^{circ}-x+30^{circ} 4 x &=120^{circ} x &=30^{circ} end{aligned} ] Hence, the greater angle ( =90^{circ}-30^{circ}=60^{circ} )