please tell the answer with solution and explain it properly with reasons
Answers
Answer:
x = 70°
y = 60°
Step-by-step explanation:
Sum of the angles on a straight line is equal to 180°
x + 110° = 180°
x = 180° - 110°
x = 70°
Sum of the three angles in a triangle is equal to 180°
50° + y + 70° = 180°
y + 120° = 180°
y = 180° - 120°
y = 60°
Given
- In the figure side B is 50° and AD is 110°
To find
- We have to find the value of x and y
Solution
We have to find the value of x now, To find the value of x we have Subtract 110° from 180° after subtracting both the numbers we will get the value of x
x + 110° = 180°
180° - 110° = x
x = 70°
We have found the value of x so now, we have to find the value f y. To find the value of y we have to add the value of x which is 70° from the Value of B which is 50° after adding the numbers we have to subtract the addition of both the numbers from 180°, After subtracting it we will get the value of y.
y + 50° + 70°
y + 120°
180° - 120° = y
y = 60°
∴ Hence, verified! that the value of x 70° and the value of y 60°