Question

Find x and y in the given figure​

Answer 1

Answer:

y = 60°

and

x = 70°

Step-by-step explanation:

Hope it helps...

Answer 2

Step-by-step explanation:

Solution :-

From the given triangle ,

120° is the exterior angle

50° and x° are the opposite interior angles

We know that

The exterior angle is equal to the sum of the opposite interior angles

=> 50°+x° = 120°

=> x° = 120°-50°

=> x° = 70°

and 120° and y ° are linear pair

We know that

The sum of two adjacent angles is 180° called a linear pair

=>y°+120° = 180°

=> y° = 180°-120°

=> y° = 60°

or

In a triangle the sum of all the three angles is 180°

=> x°+50°+y° = 180°

=> 70°+50°+y° = 180°

=> 120°+y° = 180°

=> y° = 180°-120°

=> y° = 60°

Answer:-

The value of x ° = 70°

The value of y° = 60°

Used formulae:-

• The exterior angle is equal to the sum of the opposite interior angles.
• In a triangle the sum of all the three angles is 180°.
• The sum of two adjacent angles is 180° called a linear pair.