If line AD is a tangent to circle B at point C, and m∠ABC = 40º, what is the measure of ∠BAC? 90º 180º 50º 40º

Mathematics

2 answers:

sveticcg [70]3 years ago

5 0

Answer:

Step-by-step explanation:

zhenek [66]3 years ago

4 0

We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
180°=∠BAC + ∠BCA + ∠ABC
180°=∠BAC + 90° + 40°
∠BAC =50°
The answer is 50°.

You might be interested in

Vince needed five eights of a package of marbles for each gift bag if he had to make five gift bags how many packages of marbles

Alenkasestr [34]

Answer:

$3\frac{1}{8}$ packages of marbles.

Step-by-step explanation:

We have been given that Vince needed five eights of a package of marbles for each gift bag. He had to make five gift bags. We are asked to find the number of packages of marbles that Vince needs.

To find the number of packages that Vince needs, we will multiply package needed for each gift with total number of gift packages.

$\text{Number of packages that Vince needs}=\frac{5}{8}\times 5$