Question

*The measure of an angle made by a transveral to two parallel lines is 40 degrees. what is the measure of its corresponding angle?* 1️⃣ 140° 2️⃣ 40° 3️⃣ 180° 4️⃣ 100 °​

Answer 1

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.

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