Question

Find the value of x and y in the following figures ​

Answer 1

Step-by-step explanation:

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Answer 2

Given :

• A triangle with one interior angle of 50° and exterior angle 120°.

To Find :

• Value of x and y

Solution :

$\longmapsto\tt{x+50\degree=120\degree\:(Exterior\:angle)}$

$\longmapsto\tt{x=120\degree-50\degree}$

$\longmapsto\tt\bold{x=70\degree}$

Now :

$\longmapsto\tt{70\degree+50\degree+y=180\degree\:(A.S.P)}$

$\longmapsto\tt{120\degree+y=180\degree}$

$\longmapsto\tt{y=180\degree-120\degree}$

$\longmapsto\tt\bold{y=60\degree}$

Therefore :

$\longmapsto\tt{Value\:of\:x=70\degree}$

$\longmapsto\tt{Value\:of\:y=60\degree}$

_______________________

VERIFICATION :

$\longmapsto\tt{x+y+50\degree=180\degree}$

$\longmapsto\tt{70\degree+60\degree+50\degree=180\degree}$

$\longmapsto\tt\bold{180\degree=180\degree}$

HENCE VERIFIED