Determine the missing angle measure(s) in each problem at right using the geometric relationships shown in the diagram at right. Be sure to write down the conjecture that justifies each calculation. Each part is a separate problem.
and , write an equation and solve for .
and are alternate interior angles.
What is true about alternate interior angles?
and , write an equation and solve for . Then determine the measure of .
is equal to and that and are supplementary angles.
Refer to the Math Notes box in Lesson 1.3.4.