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Use angle relationships to find unknown angles including supplementary, complementary, and vertical angles.
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Two angles are complementary if they add up to .
If , then
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Two angles are supplementary if they add up to .
If , then
When two lines intersect, they form two pairs of vertical angles. Vertical angles are equal.
Angles that share a side and vertex. Adjacent angles on a straight line are supplementary.
The sum of angles in any triangle is :
If and :
When a transversal crosses parallel lines:
Use algebra! If two supplementary angles are and :
So the angles are and .
Practice: Look for angle relationships before writing equations. Vertical angles = equal, linear pair = supplementary.