Question

3. If m || n and angle 5 is 32 degrees, what are the other angle measures?

A. M angle 1 =
B. M angle 2 =
C. M angel 3 =
D. M angel 7 =

Answer 1

A. m<1 =
`32^(o)`

B. m<2 =
`58^(o)`

C. m<3 =
`32^(o)`

D. m<7 =
`32^(o)`

A transversal is a straight line that intersects two parallel lines, as such producing a series of corresponding angles. Therefore from the given diagram, we have;

A. m<1 =
`32^(o)` (corresponding angle property to angle 5)

B. m<2 =
`58^(o)` (corresponding angle property to angle 6)

C. m<3 =
`32^(o)` (vertical opposite angle to angle 1)

D. m<7 =
`32^(o)` (vertical opposite angle to angle 5)