Question

A transversal intersects two parallel lines. lf the measure of one of the angle is 40° then find the measure of its coresponding angle. ​

Answer 1

Answer:

Step-by-step explanation:

If a transversal intersects two Parallel Lines ,

if the measure of one of the angle is 40 degree

then to find the measure of its corresponding

angle

As we know that < ELB = < ALM [ vertically opposite angles]

< ELB = < ALM = 40°

< ELB = < LMD [ corresponding angles]

< ELB = < LMD = 40°

< LMD = < CMF [ vertically opposite angles]

< LMD = < CMF = 40°

< BLM + < LMD = 180°

<BLM = 140°

<BLM = 140° = <DMF [ corresponding angles]

<DMF = 140° = <CML [ vertically opposite angles]

<BLM = 140° = <ALE[ vertically opposite angles]

Thus one can calculate all the angles of transversal intersects two Parallel Lines, if one of the angle is given.

Answer 2

Given: A transversal intersects two parallel lines and one of the angles is 40 degree

To find: the corresponding angle of the given angle.

so when two parallel lines are intersected by a transversal the two corresponding angles formed are always equal .

Answer: the measure of the corresponding angle is 40 degree