Question

in triangle angle a=angle b/2= angle c/6 then angle a = ?

Answer 1

$\angle \: a = \angle \: \frac{b}{2} \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \: \: \angle \: a \: = \angle \: \frac{c}{6} \\ \\ \\ 2\angle \: a = \angle \: b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \: 6\angle \:a = \angle \: c$




Sum of all angles of a triangle = 180°


Hence,




$= > \angle \: a + \angle \: b \: + \angle \: c = 180 \\ \\ \\ = > \angle \: a + 2\angle \: a + 6\angle \: a = 180 \\ \\ \\ = > 9\angle \: a = 180 \\ \\ \\ = > \angle \: a = \frac{180}{9} \\ \\ \\ = > \angle \: a = 20$

Answer 2

a=b/2 ; a=c/6
=>2a=b =>6a=c

Hence,,,,

a+b+c=180°
a+2a+6a=180
9a=180
a=20

a=90°

HOPE IT WILL HELP YOU