Question

Find x if m∠NML = 29x + 5, m∠NMW = 5 + 4x, and m∠WML = 150°.

a. x = 5
b. x = 10
c. x = 15
d. x = 20

Answer 1

To solve for x, we used the triangle angle sum theorem, which states the sum of internal angles in a triangle equals 180 degrees. After setting up and simplifying the equation based on the given angle measures, it was found that x = 20/33, which does not match any of the provided answer choices.

Step-by-step explanation:

To find the value of x, we can use the fact that the sum of the angles in a triangle is always 180°. In this problem, we have a triangle with angles ∠NML, ∠NMW, and ∠WML. We are given that ∠NML is 29x + 5, ∠NMW is 5 + 4x, and ∠WML is 150°.

• First, we'll set up the equation: (29x + 5) + (5 + 4x) + 150 = 180.
• Simplifying the equation gives us 33x + 160 = 180.
• Subtracting 160 from both sides gives us 33x = 20.
• Finally, dividing both sides by 33 gives us x = 20/33, which simplifies to x = 20/33. However, this is not one of the answer choices provided, indicating there may be a mistake in the original problem statement or values provided.

Since the correct value of x is not listed among the answer choices, none of the given options (x = 5, x = 10, x = 15, x = 20) are correct based on the information provided in the question.