Question

problem 1 naming angles
get it? what are two other names for ∠kml?

1. cross out the ray that is not a ray of ∠kml.

⃗mk ⃗ml ⃗ml

1. circle all the possible names of ∠kml.

∠1 ∠2 ∠kml ∠lmk ∠lml ∠kml ∠lmk
key concept types of angles

1. draw your own example of each type of angle.

acute right obtuse straight
0 < x < x = < x < x =
in the diagram, m∠abc = 70 and m∠rfe = 90. describe each angle as acute, right, obtuse or straight. give an angle measure to support your description.

1. ∠abc
2. ∠cbd
3. ∠cfg
4. ∠cfh

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex, by points on its sides and vertex, or by a number.

Step2: Analyze ∠KML

Two other names for ∠KML are ∠LMK and ∠2.

Step3: Identify non - ray of ∠KML

The ray not part of ∠KML is $\overrightarrow{MK}$ (assuming the angle is formed by rays $\overrightarrow{ML}$ and $\overrightarrow{MK}$ in a certain orientation).

Step4: Select possible names of ∠KML

Possible names are ∠2, ∠LMK, ∠KML, ∠LKM.

Step5: Recall angle types

Acute: $0

Step6: Classify ∠ABC

Since $m\angle ABC=70^{\circ}$, it is acute.

Step7: Classify other angles

Without full information about other angles' measures, we can't fully classify them. But if we assume relevant geometric relationships, we can use angle - measure rules.

Answer:

Two other names for ∠KML: ∠LMK, ∠2; Non - ray of ∠KML: $\overrightarrow{MK}$; Possible names of ∠KML: ∠2, ∠LMK, ∠KML, ∠LKM; ∠ABC is acute with measure 70°.