4 answers
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Given Delta ABC With AB = AC. Use Deductive Reasoning To Complete The Following Sentence. If < B = 40 Degree, Then
a) < C = 100 Degree
b) c=80
c)a=100
d)a=80
e) 40
![Kendall](/images/users/0/1/128x128.jpeg)
4 years ago
![Kendall](/images/users/0/1/128x128.jpeg)
4 years ago
then angle a is 100
4 years ago
yes
180 - 2*40 = 100
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To complete the sentence using deductive reasoning, we need to apply what we know about the properties of triangles and angles.
Given: Delta ABC with AB = AC
We are also given that < B = 40 degrees.
Since AB = AC, the triangle is isosceles. In an isosceles triangle, the angles opposite the equal sides are also equal.
Therefore, we can deduce that < C is also 40 degrees (because it is opposite the equal side AC).
So, completing the sentence using deductive reasoning:
If < B = 40 degrees, then < C = 40 degrees.
Therefore, the correct answer is option e) 40.