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SAT Subject Test

Note: Figure not drawn to scale.

In the figure above, and the measure of is . What is the value of ?

### Select an Answer

Correct Answer:

No

Correct Answer:

No

Correct Answer:

No

Correct Answer:

Yes

Correct Answer:

No

### View Correct Answer

There are several ways to solve this problem. One way is to use the law of sines. Since , the measure of is and the measure of is . Thus, and . (Make sure your calculator is in degree mode.)

You can also use the law of cosines:

Since is isosceles, you can draw the altitude to the triangle.

Question Difficulty:

medium