Question

In the adjoining figure AB||CD||EF||GH. If AB=12cm and GH=24cm, then find the length of CD and EF

Answer 1

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In the adjoining figure AB | | CD and EF | | GH and KL ⊥

r

FN.

Find the measure of ∠ Z if ∠x=42

∘

and ∠y=30

∘

106042

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Solution

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Correct option is B)

In △FLP

2

,

∠y+90°+∠FP

2

l=180°

So, ∠FP

2

L=180°−90°−30°=60°

∠LP

2

F=∠EP

2

P

1

=60° (Vertically opposite angles)

In △P

1

P

2

P

4

,

∠x+∠P

1

P

2

P

4

+∠P

2

P

4

P

1

=180°

∠P

2

P

4

P

1

=180°−42°−60°=78°

∠Z=∠EP

4

P

5

(corresponding angles)

and also, ∠EP

4

P

5

=∠P

2

P

4

P

1

(vertically opposite angles.)

So, ∠Z=∠P

2

P

4

P

1

=78°