Question

Find the value of x and y in the figure.​

Answer 1

Answer:

Step-by-step explanation:

y = 180 - 140( linear pair )

=40

180 = 40 + 30 +  ? ( Angle Sum Property)

? = 180 - 70

= 110

180 = x + ?

180 = x + 110 ( linear pair)

180-110 = x

x = 70

Therefore x = 70

y = 40

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Answer 2

★ Solution:-

• First let's find the value of y°

If we substrate 140 from 180 then we will get the value of y.

Accordingly,

➦ 140° - y = 180° ( 180° ∵ of linear pair )

➦ y = 180 - 140

➦ y = 40°

∴ y = 40°

$\bold{Verification}$

➦ 140 + 40 = 180

➦ 180 = 180

L.H.S = R.H.S

Hence, Proved.

• Now, the value of x°

If we first find the the interior side of x, then we will able to finish the value of x

Accordingly,

Let the other angle of the given triangle be " z "

➦ 30 + z + 40 = 180

➦ z + 70 = 180

➦ z = 180 - 70

➦ z = 110°

Now, If we substrate 110 from 180 then we can get the value of x.

➦ 110 + x = 180

➦ x = 180 - 110

➦ x = 70°

$\bold{Verification}$

➦ 110 + 70 = 180

➦ 180 = 180

∴ 110 + 30 + 40 = 180

➦ 150 + 30 = 180

➦ 180 = 180

L.H.S = R.H.S

Hence, Proved.

Required Answer:

• The value of x is 70°

• The value of y is 40°