SAT II Math II : Finding Angles

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

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Example Question #361 : Sat Subject Test In Math Ii

Suppose a set of intersecting lines. If an angle is 120 degrees, what must be the sum of the adjacent angle and the vertical angle to the given angle?

Possible Answers:

Correct answer:

Explanation:

In an intersecting pair of lines, recall that vertical angles will always equal.

The adjacent angle with the given angle will form a straight line, and both of the angles must sum to 180 degrees.

Subtract 120 from 180 to get the adjacent angle.

Sum the two angles.

The answer is:  

Example Question #362 : Sat Subject Test In Math Ii

If a set of angles are supplementary, what must be the other angle if a given angle is ?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles must add up to 180 degrees.

To find the missing angle, subtract the known angle from 180 degrees.

The answer is:  

Example Question #11 : Finding Angles

If two angles of a triangle are  radians, what must be the other angle in degrees?

Possible Answers:

Correct answer:

Explanation:

Every pi radians equal 180 degrees.  

We can choose to convert the radians to degrees first.

The sum of these two angles are:

Subtract this value from  to determine the third angle.

The answer is:  

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