Answer:
The angle P is 46°
B is correct.
Step-by-step explanation:
Given: We are given a figure a triangle MNP.
MP=46
MN=34
∠N=78°
We are given SSA. Using sine rule to find ∠P=?
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
where, a=MN=34
∠A=∠P=?
b=MP=46
∠B=∠N=78°
[tex]\dfrac{34}{\sin A}=\dfrac{46}{\sin 78^\circ}[/tex]
[tex]\sin A=\dfrac{34\cdot \sin 78^\circ}{46}[/tex]
[tex]\sin A=0.7229[/tex]
[tex]A=46.3[/tex]
[tex]A\approx 46^\circ[/tex]
Hence, The angle P is 46°
