Suppose m <6= 147º. Find <1 and m<3

∠ 1 = ∠ 3 = 33°

Step-by-step 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°

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!