A figure displays two adjacent complementary angles with measures (x+3)° and (4x−2)° . What is the equation of the angles measures?(1 point)
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Given that the two angles are complementary, their measures add up to 90 degrees.
So, we can set up the equation:
(x + 3) + (4x - 2) = 90
Combining like terms, we get:
5x + 1 = 90
Subtracting 1 from both sides, we get:
5x = 89
Dividing both sides by 5, we get:
x = 17.8
Substituting x back into the equation, we find that the measures of the angles are:
x + 3 = 17.8 + 3 = 20.8 degrees
and
4x - 2 = 4(17.8) - 2 = 71.2 degrees
Therefore, the equation of the angle measures is:
20.8 degrees and 71.2 degrees.
The sum of two complementary angles is 90 degrees.
Therefore, we can set up the equation: (x+3) + (4x-2) = 90.
Combining like terms, we get: 5x + 1 = 90.
Subtracting 1 from both sides, we get: 5x = 89.
Dividing both sides by 5, we get: x = 17.8.
Substituting x back into the equation, we find that the measures of the angles are: (17.8+3)° = 20.8° and (4(17.8)-2)° = 70.8°.
Therefore, the equation of the angle measures is: 20.8° and 70.8°.