Question

Given that ∠ABC, ∠DEF, m∠C = (x), and m∠F = (4x - 75)°, find the angle measurements for angles C and F.

a) ∠C = x°, ∠F = 4x - 75°
b) ∠C = 4x - 75°, ∠F = x°
c) ∠C = x°, ∠F = 4x + 75°
d) ∠C = 4x + 75°, ∠F = x°

Answer 1

Without additional context, it's not possible to find the exact measurements of angles C and F. However, option a) matches the given expressions to the variables: ∠C = x°, ∠F = 4x - 75°.

Step-by-step explanation:

The student's question can be resolved by setting up an equation given the relationships between angles ∠C and ∠F. Since no additional information is provided to assume the angles are complementary or supplementary, it's necessary to have more context to find the exact angle measurements.

However, based on the given options, we can match the known angle expressions to their corresponding variables directly:

• For ∠C, it's given that m∠C is expressed simply as (x).
• For ∠F, it's given as (4x - 75)°.

Therefore, the answer that matches the angle expressions to the variables correctly is:

• ∠C = x°, ∠F = 4x - 75°