Question
If there are two supplementary angles, D and E were m D=(4x+8) degree and m E=(x+17 degree and F is a vertical angle with D what is the measure of F
Answers
Answered by
GPT 3.5
If D and E are supplementary angles, then the sum of their measures is 180 degrees. Therefore:
(4x + 8) + (x + 17) = 180
5x + 25 = 180
5x = 155
x = 31
Therefore, m(D) = 4(31) + 8 = 132 degrees
Since F is a vertical angle with D, the measure of F is also 132 degrees.
(4x + 8) + (x + 17) = 180
5x + 25 = 180
5x = 155
x = 31
Therefore, m(D) = 4(31) + 8 = 132 degrees
Since F is a vertical angle with D, the measure of F is also 132 degrees.
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