Question

Can anyone help ? i really don’t understand this question If NP bisects X = m/RNM =

Answer 1

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

What are angles?

• An angle is a figure in Euclidean geometry formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle.
• Angles formed by two rays are located in the plane containing the rays.
• Angles are also formed when two planes intersect.
• These are known as dihedral angles.

So,

• ∠MNQ = ∠MNP + ∠PNQ
• 8x + 12 = ∠MNP + 78
• 8x + 12 - 78 = ∠MNP
• 8x - 66 = ∠MNP
• 8x = ∠MNP + 66
• x = (∠MNP + 66)/8

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

• ∠MNQ = 8x + 12
• ∠MNQ = 8 ×(∠MNP + 66)/8 + 12
• ∠MNQ = ∠MNP + 66 + 12
• ∠MNQ = ∠MNP + 78

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

Know more about angles here:

brainly.com/question/25716982

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