In the diagram shown, line m is parallel to line n . Justine says that ∠3 ∠ 3 and ∠7 ∠ 7 are supplementary angles. Is she correc
t? Why or why not?
a. No, because ∠3∠3 is an interior angle and ∠7∠7 is an exterior angle.
b. No, because they are not a linear pair.
c. Yes, because ∠3∠3 and ∠8∠8 are congruent corresponding angles, and ∠7∠7 and ∠8∠8 are a linear pair.
d. Yes, because ∠3∠3 is acute and ∠7∠7
is obtuse.
a. No, because ∠3∠3 is an interior angle and ∠7∠7 is an exterior angle.
b. No, because they are not a linear pair.
c. Yes, because ∠3∠3 and ∠8∠8 are congruent corresponding angles, and ∠7∠7 and ∠8∠8 are a linear pair.
d. Yes, because ∠3∠3 is acute and ∠7∠7
is obtuse.
1 answer:
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Answer:
∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.
Step-by-step explanation:
1. units
units
units
units, then
2. and
are right angles - given
3. two right angles are always congruent.
4. by SAS similarity theorem.
SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.