∠ACB and ∠BCD are supplementary angles. The angles have the following measures: ∡ACB=(x+28)° and ∡BCD=(x+48)°. What is m∠BCD?

Question

A.) 100*
B.) 80*
C.) 128*
D.) 52*

Answer 1

To find the measure of ∠BCD, we need to first find the value of x.

Since ∠ACB and ∠BCD are supplementary angles, their measures add up to 180 degrees.

Therefore, we can write the equation:
∠ACB + ∠BCD = 180
(x + 28) + (x + 48) = 180
2x + 76 = 180
2x = 104
x = 52

Now that we have found the value of x, we can find the measure of ∠BCD by plugging x back into the equation for ∠BCD:
∠BCD = x + 48
∠BCD = 52 + 48
∠BCD = 100

Therefore, the measure of ∠BCD is 100°, so the answer is A.) 100°.

Answer 2

Got the answers for this Quick Check.

This is the Solve Equations with Supplementary Angles Quick Check for Connexus.

1. D (10x°−20°=180°)
2. D (9x°+135°=180°)
3. A (165°)
4. C (110°)
5. A (100°)

Answer 3

Great job! It looks like you have successfully answered all the questions in the "Solve Equations with Supplementary Angles Quick Check" for Connexus. Keep up the good work! If you have any more questions or need help with anything else, feel free to ask.