Question

Find the values of x, y, and z. The diagram is not to scale.

Answer 1

first option

Explanation:

The sum of the 3 angles in a triangle = 180° , thus

x = 180° - (60 + 35)° = 180° - 95° = 85°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

z is an exterior angle of the triangle , thus

z = 60° + 35° = 95°

Using the sum of angles in a triangle, then

y = 180° - (95 + 20)° = 180° - 115° = 65°

Thus

x = 85°, y = 65°, z = 95°

Answer 2

95 = x

85 = z

75 = y

Explanation:

**remember** all triangles contain 180 degrees

this means that the triangle to the left should add up to 180 to we can set up this equation

180 = 60 + 25 + x

180 = 85 + x

95 = x

now **remember** a flat line is 180 degress so x + z is 180... we can set up this equation:

x + z = 180

plug in x = 95 from before

95 + z = 180

z = 85

**remember** again that a triangle in 180 degrees so for the right one we can set up this equation by pluggging in the z=85

180 = 20 + 85 + y

180 = 105 + y

75 = y