a. Write an equation that would help you solve for the missing angle measures. (12x + 1, 3x, (16x - 7)) Combine Like Terms! Remember the Triangle Sum Theorem.
b. Solve the equation to find the value of x. Show/Explain all of your steps using inverse operations!
(2 points)
0 / 10000 Word Limit
Question 2
Using your value of x from the previous question, solve to find the measure of each angle.(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
m∠
J = Response area
m∠
K = Response area
m∠
L =Response area
a. The equation that would help solve for the missing angle measures is:
(12x + 1) + 3x + (16x - 7) = 180
b. To solve the equation, we need to combine like terms:
12x + 1 + 3x + 16x - 7 = 180
(12x + 3x + 16x) + (1 - 7) = 180
31x - 6 = 180
Next, we need to isolate the variable x by using inverse operations.
Adding 6 to both sides:
31x = 186
Finally, divide both sides by 31:
x = 6
Now that we have the value of x, we can substitute it back into the original expressions to find the measure of each angle.
m∠J = 12x + 1 = 12(6) + 1 = 73 degrees
m∠K = 3x = 3(6) = 18 degrees
m∠L = 16x - 7 = 16(6) - 7 = 89 degrees