the following information is given: b = 5 m∠m = 5 + 2b m∠n = 4b - 5 m∠p = b + 5 which congruency statement is true? hint: plug the value of b into each place you see b and evaluate. what do you notice? a ∠m ≅ ∠p b ∠n ≅ ∠p c ∠m ≅ ∠n

Question

Accepted Answer

# Explanation:
## Step1: Substitute $ b = 5 $ into $ m\angle M=5 + 2b $
Substitute $ b = 5 $ into the formula $ m\angle M=5 + 2b $.
$$
\begin{align*}
m\angle M&=5+2\times5\
&=5 + 10\
&=15
\end{align*}
$$
## Step2: Substitute $ b = 5 $ into $ m\angle N=4b - 5 $
Substitute $ b = 5 $ into the formula $ m\angle N=4b - 5 $.
$$
\begin{align*}
m\angle N&=4\times5-5\
&=20 - 5\
&=15
\end{align*}
$$
## Step3: Substitute $ b = 5 $ into $ m\angle P=b + 5 $
Substitute $ b = 5 $ into the formula $ m\angle P=b + 5 $.
$$
\begin{align*}
m\angle P&=5+5\
&=10
\end{align*}
$$

# Answer:
C. $ \angle M\cong\angle N $

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QUESTION IMAGE

Question

Explanation:

Step1: Substitute \( b = 5 \) into \( m\angle M=5 + 2b \)

Step2: Substitute \( b = 5 \) into \( m\angle N=4b - 5 \)

Step3: Substitute \( b = 5 \) into \( m\angle P=b + 5 \)

Answer: