2-1: Angles and Congruence

2-1: Angles and Congruence

Today's Goal

• Students will identify and use different kinds of angles.

Multiple Select

Use the figure to identify the angles or parts of angles that satisfy the given condition. Which angle has sides $$\overrightarrow{DB}$$ and $$\overrightarrow{DC}$$ ? Select all that apply.

• $$\angle2$$

• $$\angle3$$

• $$\angle ADB$$

• $$\angle BDC$$

• $$\angle CDB$$

Fill in the Blanks

In the figure, $\overrightarrow{KJ}$ and $\overrightarrow{KM}$ are opposite rays, and $\overrightarrow{KN}$ bisects $\angle JKL$ . If $m\angle JKN=\left(8x-13\right)\degree$ and $m\angle NKL=\left(6x+11\right)\degree$ , find $m\angle JKN$ .

​Example 3: Vertical Angles and Angle Pairs

Multiple Select

A city planner is designing a park. He wants to place two pathways that intersect near the center of the park. If $$m\angle GED=88\degree$$ , identify the true statement(s).

• $$m\angle DEF=92\degree$$

• $$m\angle DEG=92\degree$$

• $$m\angle FEH=88\degree$$

• $$m\angle DEH=92\degree$$

• $$m\angle GEH=88\degree$$