Question

please solve it fastly class 9th maths​

Answer 1

Step-by-step explanation:

As XOY is a straight line, so,

Angle POY+POM+MOX = 180° ( linear pair )

90°+2x+3x = 180°

5x = 90°

x = 18

So, angle a = 2x

= 2×18

= 36°

And angle b = 3x

= 3×18

= 54°

Now, as MON is a straight line, so,

Angle NOX+ Angle MOX = 180° (Linear pair)

angle c + angle b = 180

angle c = 180-54

angle c = 126°

Answer 2

Given :

• ∠POY = 90°
• a:b = 2:3

To Find :

• Measure of c

Solution :

$\longmapsto\tt{Let\:a=2x}$

$\longmapsto\tt{Let\:b=3x}$

$\longmapsto\tt{a+b+90\degree=180\degree\:(Angle\:on\:one\:line)}$

$\longmapsto\tt{2x+3x+90\degree=180\degree}$

$\longmapsto\tt{5x=180\degree-90\degree}$

$\longmapsto\tt{5x=90\degree}$

$\longmapsto\tt{x=\cancel\dfrac{90}{5}}$

$\longmapsto\tt\bf{x=18}$

Value of x is 18..

Therefore :

$\longmapsto\tt{a=2(18)}$

$\longmapsto\tt\bf{36\degree}$

$\longmapsto\tt{b=3(18)}$

$\longmapsto\tt\bf{54\degree}$

Now ,

$\longmapsto\tt{b+c=180\degree\:(Linear\:Pair)}$

$\longmapsto\tt{54\degree+c=180\degree}$

$\longmapsto\tt{c=180\degree-54\degree}$

$\longmapsto\tt\bf{c=126\degree}$

So , The measure of c is 126°..