Question

An answer would be appreciated with work shown, 50 points.

Answer 1

Answer: 85 Degrees

Explanation:

We know that MP is a straight line and hence it is 180 degrees.

That means - MNR + RNV + PNV = 180 DEGREES

78 + 17 + X = 180

X = 180 - 95

X = 85 Degrees

RNV = 85 Degrees

Answer 2

∠ RNV = 85°

Explanation:

∠ MNR , ∠ RNV and ∠ PNV lie on straight line MP and sum to 180°, that is

∠ MNR + ∠ RNV + ∠ PNV = 180°

substitute ∠ MNR = 78° , ∠ PNV = 17° into the equation

78° + ∠ RNV + 17° = 180°

95° + ∠ RNV = 180° ( subtract 95° from both sides )

95° - 95° + ∠ RNV = 180° - 95° , that is

∠ RNV = 85°