Question

In fig 6.14 lines xy and mn intersect at o . If angle poy 90 degree and a:b=2:3 find angle c

Answer 1

Answer:

HERE IS YOUR ANSWER ☝️☝️☝️

Answer 2

$\huge\textsf{\underline{\underline{Answer :-}}}$

$\mathfrak{\underline{\underline{Given:-}}}$ $\angle$POY = 90°.

a : b = 2 : 3

To find :- angle C.

$\mathfrak{\underline{\underline{Solution :-}}}$ $\angle$POY + $\angle$POX = 180°.

= 90° + $\angle$POX = 180°.

$\angle$POX = 180° - 90°

$\angle$POX = 90°.

$\huge{\boxed{\boxed{a+b=90°}}}$

Let a = 2x ; b = 3x

2x + 3x = 90°

5x = 90

$\huge\sf\frac{x=90}{5}$

x = 18

$\therefore$b=3x

b = 3 * 18 = b = 54°.

Now, b + c = 180 (linear pair)

54 + c = 180

c = 180 - 54

$\huge{\boxed{\boxed{C=126°}}}$