How To Solve Angle Problems

This means that, when we add together angles p and x, their sum will be equal to angle m (because opposite angles are equal). When there are two parallel lines that are crossed by another line (called a transversal), the angles on alternate interiors will be equal to one another.

This means that, when we add together angles p and x, their sum will be equal to angle m (because opposite angles are equal). When there are two parallel lines that are crossed by another line (called a transversal), the angles on alternate interiors will be equal to one another.And the angles on the same side of the transversal line and the same side of their respective parallel lines will also be equal.That may be difficult to picture, so let’s look at a diagram: (Note: when you are told that two lines are parallel on the SAT math section, the problem will almost always involve opposite interior angles in some way.) Now let’s look at an opposite interior angle SAT problem.

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This means that, in order to find angle a, we can say: a 25 85=180 a 110=180 a=70 So our final answer is C.

As we said before, this question is representative of most line and angle problems you’ll see on the test.

When two (or more) lines intersect, they form a series of opposite angles.

Angles that are exactly opposite will always be equal to one another. Here, you can see that the lines l and k intersect such that the sum of angles p and x make an angle that is exactly opposite angle m.

Before you can tackle some of the more complex multi-shape problems that often appear towards the end of the test, you’ll need to know just how to solve for all your missing angle measures.

Almost without fail, there will be exactly two problems on any given SAT on lines and angles (note: these problems are distinct from questions on lines and slopes, which are covered in a separate guide).

The missing angles will not always be labeled a, b, c, d, etc.

so the sequence in which to find angles might not be obvious.

We can see that the angle to the far left is marked as 89 degrees and it is an opposite interior angle to angle r only.

This means that r=89 degrees, as opposite interior angles are equal. Almost every line and angle problem is given to you as a diagram problem.