Question

x and y are two supplementary angle. if supplementary angle of x is equal to half the complementary of y then find x:y ?​

Answer 1

Answer:

given x+y=180

as given y is complementary angle of x so

a/c to 2nd condition

y=(90-y)/2

y=30

thus x=150

x:y=5:1

Answer 2

The value of x : y = 5 : 1

Given :

• x and y are two supplementary angle.

• The supplementary angle of x is equal to half the complementary of y

To find :

The value of x : y

Solution :

Step 1 of 3 :

Form the equation to find the value of x and y

Here it is given that x and y are two supplementary angle

$\displaystyle \sf{x + y = {180}^{ \circ} }$

$\displaystyle \sf{ \implies y = {180}^{ \circ} - x \: \: - - - (1) }$

Now supplementary angle of x = 180° - x

Complementary angle of y = 90° - y

By the given condition

$\displaystyle \sf{ ({180}^{ \circ} - x) = \frac{1}{2}({90}^{ \circ} - y ) }$

Step 2 of 3 :

Find the value of x and y

$\displaystyle \sf{ ({180}^{ \circ} - x) = \frac{1}{2}({90}^{ \circ} - y ) }$

$\displaystyle \sf{ \implies y = \frac{1}{2}({90}^{ \circ} - y ) } \: \: \: \: [ \: By \: Equation \: 1 \: ]$

$\displaystyle \sf{ \implies 2y = ({90}^{ \circ} - y ) }$

$\displaystyle \sf{ \implies 3y = {90}^{ \circ} }$

$\displaystyle \sf{ \implies y = {30}^{ \circ} }$

From Equation 1 we get

x = 180° - 30° = 150°

Step 3 of 3 :

Find the value of x : y

The value of x : y

= 150 : 30

= 5 : 1

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