Question

1) Find the measure of angles 1,2 and 3. Discuss which rules of triangles or angles you used to find the measurements.

Answer 1

Lines a and b are parallel.

Angles 3 and 65 deg are alt int angles, so m<3 = 65

Angles 1 and 55 deg are alt int angles, so m<1 = 55

The sum of the measures of the angles of a triangle is 180, so

m<2 + 55 + 65 = 180

m<2 + 120 = 180

m<2 = 60