Question

The triangles below are not drawn to scale or to proper proportions.

If angle A = 115, angle B = 78, and angle C = 35, then

angle 1 =

angle 2 =

angle 3 =

Answer 1

Answer/Step-by-step explanation:

Given:

m<A = 115,

m<B = 78,

m<C = 35,

✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)

m<1 = 180 - 115 (substitution)

m<1 = 65°

✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)

m<2 + 65 + 78 = 180

m<2 + 143 = 180

m<2 = 180 - 143 (substitution property of equality)

m<2 = 37°

✔️m<3 = 180° - m<B (supplementary angles)

m<3 = 180 - 78

m<3 = 102°