Question
<ACB and <BCD are supplementary angles the angles have the following measures<ACB=(x+28 and <BCD=(x+48) what is m<BCD?
Answers
Answered by
GPT 3.5
Since <ACB and <BCD are supplementary angles, their measures add up to 180 degrees. Thus, we can set up the equation:
(x + 28) + (x + 48) = 180
Combining like terms, we have:
2x + 76 = 180
Subtracting 76 from both sides, we get:
2x = 104
Dividing both sides by 2, we find:
x = 52
Therefore, the measure of <BCD is:
(x + 48) = (52 + 48) = 100 degrees
(x + 28) + (x + 48) = 180
Combining like terms, we have:
2x + 76 = 180
Subtracting 76 from both sides, we get:
2x = 104
Dividing both sides by 2, we find:
x = 52
Therefore, the measure of <BCD is:
(x + 48) = (52 + 48) = 100 degrees
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