Question

Bisectoarea unghiurilor adiacente DAN si JAN sunt perpendiculare ,iar m(^DAN)=0,(3)ori m(^JAN).Masura ungiului JAN este?

Answer 1

Fie masurile lor a, respectiv b
$\frac{a}{2}+\frac{b}{2}=90^{\circ}$
$\frac{a+b}{2}=90^{\circ}$
$a+b=180^{\circ}$
$a=0,(3)\cdot b=\frac{1}{3}\cdot b=\frac{b}{3}$
$b=3a$
Inlocuim in a+b=180°
a+3a=180°
4a=180°
a=45°
$\boxed{b=135^{\circ}}$