Question

Find the values of x and y.

Answer 1

Explanation:

for x :

180° - 40° = 140°

40° / 2 = 20°

x = 20°

for y :

20° + 90° = 110°

180° - 110° = 70°

x = 70°

Answer 2

Given, x,y and 40 are the angles of a triangle.

Therefore, x+y+40=180

x+y=140

The difference between the two angles x and y is 30.

Therefore, x−y=30 ....(2)

Add equations (1) and (2), we get

2x=170

⇒x=85

Substitute this value n equation (2), we get

85−y=30

⇒y=85-30

⇒y=55

Therefore, angles of a triangle are x=85, y=55 and 40.