Question

Let 2004-02-01-02-00_files/i0200000.jpg. If 2004-02-01-02-00_files/i0200001.jpg is a complement of 2004-02-01-02-00_files/i0200002.jpg, and 2004-02-01-02-00_files/i0200003.jpg is a supplement of 2004-02-01-02-00_files/i0200001.jpg, what is 2004-02-01-02-00_files/i0200004.jpg?
A.
2004-02-01-02-00_files/i0200005.jpg
B.
2004-02-01-02-00_files/i0200006.jpg
C.
2004-02-01-02-00_files/i0200007.jpg
D.
2004-02-01-02-00_files/i0200008.jpg

Answer 1

Answer: The answer is (C) 180°.

Step-by-step explanation:  Given that m∠A = 40°. ∠B is a complement of ∠A and ∠C is a supplement of ∠B. We are to find m∠B + m∠C.

Since ∠B is a complement of ∠A, so we have

$m\angle A+m\angle B=90^\circ\\\\\Rightarrow m\angle B=90^\circ-m\angle A=90^\circ-40^\circ\\\\\Rightarrow m\angle B=50^\circ.$

Now, since ∠C is a supplement of ∠B, so we have

$m\angle B+m\angle C=180^\circ\\\\\Rightarrow m\angle C=180^\circ-m\angle B=180^\circ-50^\circ\\\\\Rightarrow m\angle C=130^\circ.$

Therefore,

$m\angle B+m\angle C=50^\circ+130^\circ=180^\circ.$

Thus, (C) is the correct answer.

Answer 2

Answer:

b

Step-by-step explanation: