Question

What is the measure of ∠P, to the nearest degree?

44°

46°

58°

72°

Answer 1

final answer is 46° (see photo)

Answer 2

The angle P is 46°

B is correct.

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=?

`(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)`

where, a=MN=34

∠A=∠P=?

b=MP=46

∠B=∠N=78°

`(34)/(\sin A)=(46)/(\sin 78^\circ)`

`\sin A=(34\cdot \sin 78^\circ)/(46)`

`\sin A=0.7229`

`A=46.3`

`A\approx 46^\circ`

Hence, The angle P is 46°