Question

A transversal intersects two parallel lines. If the measure of one of the angles is 40 then the measure of its vertically opposite angle is​

Answer 1

Solution:

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

As we know that sum of two corresponding angle is always 180

∘

.

One angle is given as 50

∘

, if another angle is x then

x=50

o

because corresponding angles are equal