Question

In the given figure l is Parallel to m and p is Parallel to q. Find the measure of each of the angles a,b,c,d.
Please give ur answer in step-by-step explanation!​

Answer 1

Answer:

since,

m is ll to l

therefore m is a straight line

so , we know that d+100=180. {by linear pair}

so d=80

now d = b. (by coordinate angles)

Answer 2

Answer:

ok

Step-by-step explanation:

l || to m

consider p as transversal

therefore b is congruent to e(100 degree) (alternate angle theorem)

but e is equal to 100

therefore b is 100

l is parallel to m

consider p as transversal

therefore b is congruent to d(corresponding angle theorem)

p is parallel to q

consider m as transversal

therefore d is congruent to c(alternate angle theorem)

but d is equal to 100

therefore c is equal to 100

now l is parallel to m

consider q as transversal

therefore a+c=180°(interior angle theorem)

but c is 100°

therefore a+100=180°

therefore a=180-100

therefore a=80°

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