Question

Suppose m <6= 147º. Find <1 and m<3

Answer 1

∠ 1 = ∠ 3 = 33°

Explanation:

∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus

∠ 3 + ∠ 6 = 180° , that is

∠ 3 + 147° = 180° ( subtract 147° from both sides )

∠ 3 = 33°

∠ 1 and ∠ 3 are vertical angles and congruent, thus

∠ 1 = ∠ 3 = 33°