Question

find the values of the unknown x and y in the following diagram​

Answer 1

Answer:

y=75°

x=65°

Step-by-step explanation:

Exterior angle = 105°

y=180°-105°

y=75°

sum of angles of a triangle=180°

40°+75°+x=180°

115°+x=180°

x=180°-115°

x=65°

hope it will be helpful

Answer 2

Answer:

This is exterior angle property question

In this , the sum of 40 and x is 105 , So,

40+x = 105

x = 105-40

x = 65

So now we know that the sum of all sides of a triangle is 180, so ,

40 + x + y = 180

we know the value of x , so ,

40 + 65 + y = 180

105 + y = 180

y = 180 - 105

y = 75