Question

Find X and Y, if x || y, If L || m ||n​

Answer 1

Answer:

The value of x is 10°

The value of y is 5°

Explanation:

Given

• In the figure, l || m || n

To Find

• The value of x and y

Solution

As, Opposite interior angles are equal

( 6x + 5y ) = 85° . . . Equation ( 1 )

As corresponding angles are equal

( 6x + 6y ) = 90° . . . Equation ( 2 )

Subtracting equation ( 1 ) from equation ( 2 )

⟹ ( 6x + 6y ) - ( 6x + 5y ) = 90° - 85°

⟹ ( 6x + 6y ) - ( 6x + 5y ) = 5°

⟹ 6x + 6y - 6x - 5y = 5°

⟹ 6y - 5y = 5°

⟹ ( 6 - 5 )y = 5°

⟹ y = 5°

Now, we have got the value of y, now to find the value of x, we can substitute 5° in place of Y in either equation ( 1 ) or equation ( 2 ). Both equation will give the same answer for the value of x.

Substituting 5° in place of y in equation ( 1 )

⟹ ( 6x + 5y ) = 85°

⟹ [ 6x + 5(5) ] = 85°

⟹ 6x + 25° = 85°

⟹ 6x = 85° - 25°

⟹ 6x = 60°

⟹ x = 60°/6

⟹ x = 10°

The value of x and y is 10° and 5° respectively.

Answer 2

Answer:

X = 10

Y = 5

Step-by-step explanation:

Given

x parallel to y

l parallel to m and n

Find X And Y

By Using Alternate Angle And Corresponding Angle