Question

The value of x is and the value of y is

Answer 1

x = 60°

y = 50°

Explanation:

Angles in a triangle add up to 180 degrees.

x + 70 + 50 = 180

x + 120 = 180

x = 60

The other triangle's missing angle:

180 - 60 - 50 = 70

Angles on a straight line add up to 180 degrees.

70 + x + y = 180

We know the value of x.

70 + 60 + y = 180

Solve for y.

130 + y = 180

y = 180 - 130

y = 50

Answer 2

x = 60, y = 50

Explanation:

60 + 50 = 110 + 70 = 180.

50 + 70 = 120 + 6 = 180.

Therefore 50 + 70 + x = 60

Therefore 70 + 60 + y = 50