Question

sept. 4 unit 1 #10 the student be able to calculate missing angles in a diagram
1.
2.
the following have been named in all possible ways except for one way. find the missing way.

1. ∠q, ∠pqr, ∠rqp
2. ∠ hjk, ∠kjh

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex letter alone (if there is only one angle at that vertex), by three - point naming (with the vertex in the middle), or by a number or symbol assigned to the angle.

Step2: Analyze the first angle

For the angle with vertex $Q$, we have $\angle Q$, $\angle PQR$, $\angle RQP$. The missing way is to name it by the number given in the diagram, so it should be $\angle 1$.

Step3: Analyze the second angle

For the right - angle with vertex $J$, we have $\angle HJK$, $\angle KJH$. The missing way is to name it by the vertex letter since there is only one angle at vertex $J$, so it is $\angle J$.

Answer:

1. $\angle 1$
2. $\angle J$