Question

Suppose angle 1 congruent to angle 3 congruent to angle 4 congruent to angle 6, angle 2 congruent to angle 5, and the measurement of angle 3 = the measurement of angle 2 + 30. What is the measurement of angle 4?

A) 30 degrees
B) 45 degrees
C) 60 degrees
D) 90 degrees

Answer 1

The measurement of angle 4 cannot be determined based on the given information and equations.

Step-by-step explanation:

The measure of angle 4 can be found by using the given information and reasoning based on angle relationships. Since angle 1, 3, 4, and 6 are congruent, they all have the same measurement. Let's call this measurement x. Angle 2 and angle 5 are also congruent. Given that angle 3 is equal to angle 2 plus 30, we can write the equation: x = x + 30. By subtracting x from both sides, we find that 0 = 30. This is not possible. Therefore, there is no solution for the measurement of angle 4.