In Figure 2, if a║b and t is a transversal, which angles are congruent to ∠5?
a.∠1, ∠2 and ∠3
b.∠1, ∠2 and ∠8
c.∠1, ∠4 and ∠7
d.∠1, ∠4 and ∠8
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∠1, ∠4 and ∠8 are congruent to ∠5. (Option d)
- In the given figure, lines a and b are parallel and t is the transversal that cuts through them.
- In such a case, the vertically opposite angles, alternate interior angles, and corresponding angles are of equal measure.
- ∠5 is an angle on b and is vertically opposite to ∠8, is corresponding to ∠1, and is alternately interior to ∠4.
- So, these three angles are congruent to ∠5.
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