Question

∠1 and ∠2 are supplementary angles. ∠1 and ∠3 are vertical angles. If m ∠2=72 degrees, then find m ∠3

Answer 1

Answer:

∠3 = 108°

Step-by-step explanation:

∠1 + ∠2 = 180° because they are supplementary angles

∠2 = 72°  given

∠1 = 180° - 72° = 108°

∠1 = ∠3   because they are vertical angles

∠3 = 108°

Answer 2

Answer:

m<3 = 108

Step-by-step explanation:

Since <1 and <2 are supplementary, the equation is:

<1 + <2 = 180

Since <1 and <3 are vertical angles. the equation is:

<1 = <3

To find m<3:

<2 + <3 = 180

72 + <3 = 180

<3 = 180 - 72

<3 = 108