Question

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find the values of x and y​

Answer 1

Answer:x=75° & y=105°

Step-by-step explanation:

Given ,

We can observe that the following diagram is parallelogram (where the opposite sides are parallel and equal)

One of the angle is 105°

(Opposite angles are equal)

So , 105°=y

x+y=180(adjacent angles are supplementary)

x+105°=180°

x=180°-105°

x=75°

Hence,x=75° & y=105°

Hope this helps you

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Answer 2

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Given :- ABCD is a rombus.

Angle ABC = 105°

To Find :- x & y

Prove :- In ◾ABCD

Angle ABC + Angle ADC = 180°

105 + y = 180°

y = 180° - 105°

y = 75°

➜Angle ADC = 75°

Angle BAD + Angle ADC = 180°

x + 75° = 180°

x = 180° - 75°

x = 105°

➜Angle BAD = 105°

Therefore x = 70°. &. y = 105°

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