Question

if two parallel lines interact at an intersection, the angle of one of the angles formed is 40, while the measure of its corresponding angle is, it is​

Answer 1

Answer:

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Answer 2

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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.

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