Question

I need full explanation...

Answer 1

Hey !!




Y + 120° = 180° [ Linear pair ]



Y = 180° - 120°



Y = 60°






We know that , sum of angles of a triangle is always equal to 180°.

Therefore,


X + Y + 50° = 180°


X + 60° + 50° = 180°


X + 110° = 180°


X = 180° - 110°


X = 70°


Hence,

X = 70° and y = 60° .

Answer 2

In this question,

x+50° = 120° [Measure of Exterior angle is equal to the sum of two opposite co-interior angles .]
=> x = 120°-50°
=> x = 70°

Now, we are required to find out the measure of angle y.

=> x+y+50° = 180° [Angles property of triangle ]
=> 70°+y+50° = 180°
=> 120°+y = 180°
=> y = 180°-120°
=> y = 60°

Hence,

x = 70° and
y = 60°

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