The lines X W and Y Z are parallel- find the angle - D C WA- 80-B- 100-C- 72-D- None of the above

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Standard VII

Mathematics

Special Names for Pairs of Angles Made by Parallel Lines and Transversal

The lines X W...

Question

The lines $⟷ X W$ and $⟷ Y Z$ are parallel, find the angle $∠ D C W$

100°

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80°

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72°

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None of the above

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Solution

The correct option is A
100°

Since the lines $⟷ X W$ and $⟷ Y Z$ are parallel,

the angles $∠ D C W$ and $∠ R D Z$ are equal as they are corresponding angles.

Hence, $∠ D C W$ = $∠ R D Z$ = $100^{0}$

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The lines ⟷XW and ⟷YZ are parallel, find the angle ∠DCW

The correct option is A 100° Since the lines ⟷XW and ⟷YZ are parallel, the angles ∠DCW and ∠RDZ are equal as they are corresponding angles. Hence, ∠DCW = ∠RDZ = 1000

The lines $⟷ X W$ and $⟷ Y Z$ are parallel, find the angle $∠ D C W$

The correct option is A
100°

Since the lines $⟷ X W$ and $⟷ Y Z$ are parallel,

the angles $∠ D C W$ and $∠ R D Z$ are equal as they are corresponding angles.

Hence, $∠ D C W$ = $∠ R D Z$ = $100^{0}$