cheerthi16
15.10.2021 •
Mathematics
Answer ASAP
1. What do you notice about the relationships between the measures of vertical answers?
Use complete sentences
2. What do you notice about the relationship between the measures of linear pair angles use complete sentences
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Ответ:
Explanation with Proof is given below.
Step-by-step explanation:
Given:
In Δ ABC,
m∠ A = 59°
m∠ B = 37°
In Δ A'B'C'
m∠ A' = 59°
m∠ C' = 84°
To Prove:
Δ ABC ~ Δ A'B'C'
Proof:
In Δ ABC we have,
m∠ A + m∠ B + m∠ C = 180° {Angle Sum Property of Triangle}
Substituting the given values we get
Now,
In Δ ABC and Δ A'B'C'
∠ A ≅ ∠ A' …………..{measure of each angle is 59°}
∠ C ≅ ∠ C' ……….{measure of each angle is 84°}
Δ ABC ~ Δ A'B'C' ….{ By Angle-Angle Similarity Postulate} Proved