Identify and determine values of angles in complementary and supplementary relationships.
Use the diagram below to answer the questions.
a. Name an acute angle.
b. Name an obtuse angle.
c. Name a right angle.
d. Name two adjacent angles.
e. Name two nonadjacent angles.
Two angle diagrams are shown below. Use the information about each diagram to find the measure of the angle described.
a. Points $$Q$$, $$R$$, and $$T$$ lie on a straight line, as shown below. Find the measure of $$\angle SRT$$.
b. Angle $${ABC}$$ is a right angle. Find the value of $$x$$.
In the diagram below, point $$P$$ lies on line $${QT}$$.
a. Write and solve an equation to find the measure of $$x$$.
b. What is the measure of $$\angle RPT$$?
In the diagram below, point $$A$$ lies on line $${BD}$$ and $$\angle CAE$$ is a right angle.
a. Describe the relationship between $$\angle DAE$$ and $$\angle EAB$$.
b. Name two angles that are complementary.
c. If the measure of angle $$DAC$$ is 74°, what is the measure of angle $$ DAE$$?