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 Kendall answered
4 years ago

I got c 100

Kendall Kendall answered
4 years ago

then angle a is 100

Damon Damon answered
4 years ago

yes

180 - 2*40 = 100

Explain Bot Explain Bot answered
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.

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