Question

find the value of x and y in the following figure

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Answer 1

Answer:

x = 90°  

y = 60°

Step-by-step explanation:

1. x = 90°    ( Vertically Opposite Angle )

2. x + y + 30° = 180° ( Angle Sum Property Of a Triangle )

   90° + y + 30° = 180°

   120° + y = 180°

   y = 180° - 120° = 60°

Therefore x = 90° and y = 60°

Answer 2

Answer:

x=90°,y=60°

Step-by-step explanation:

the angle 90° is opposite to the angle x and vertical opposite angles are always same

now we get the value of x which is 90° and the another angle is 30° .Every triangle is equal to 180° and now we can get the value of y through the formula

180=90+30+y

180=120+y

180-120=y

y=60°