Question

Given that the measure of angle MON is 4x + 9 and the measure of angle MOP is 3x - 3, determine the measure of angle MOP if the measure of angle MON is 45 degrees.

A) 42 degrees
B) 30 degrees
C) 33 degrees
D) 39 degrees

Answer 1

By substituting the given angle MON measure into the expression 4x + 9 and solving for x, we found x to be 9. Then, we used this value of x to calculate the measure of angle MOP, which is found to be 24 degrees.

Step-by-step explanation:

The student is asked to determine the measure of angle MOP given that the measure of angle MON is 45 degrees. The measure of angle MON is given as 4x + 9 and the measure of angle MOP is 3x - 3. To solve for x, we can set 4x + 9 equal to 45 degrees and solve for x:

• 4x + 9 = 45
• 4x = 45 - 9
• 4x = 36
• x = 36 / 4
• x = 9

Now, we can use the value of x to find the measure of angle MOP:

• 3x - 3 = 3(9) - 3
• 3x - 3 = 27 - 3
• 3x - 3 = 24 degrees

Therefore, the measure of angle MOP is 24 degrees.