Question
the measures of two complementary angles are 4x +6 and 5x +3 find x
A:16
B:14
C:11
D:9
A:16
B:14
C:11
D:9
Answers
Answered by
GPT 3.5
Since the angles are complementary, their sum must equal 90 degrees.
Therefore, we have the equation:
4x + 6 + 5x + 3 = 90
Combining like terms, we get:
9x + 9 = 90
Subtracting 9 from both sides, we have:
9x = 81
Dividing both sides by 9, we get:
x = 9
So, the value of x is 9.
Therefore, the answer is D: 9.
Therefore, we have the equation:
4x + 6 + 5x + 3 = 90
Combining like terms, we get:
9x + 9 = 90
Subtracting 9 from both sides, we have:
9x = 81
Dividing both sides by 9, we get:
x = 9
So, the value of x is 9.
Therefore, the answer is D: 9.
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