a figure displays 2 non adjacent angles with measures 3x and (4x + 1) If the angles are complementary what is the simplified equation corresponding to the measures of the angles

1 answer

Since the angles are complementary, we know that the sum of their measures is 90 degrees.

Therefore, the equation representing the sum of the measures of the two angles is:

3x + (4x + 1) = 90

Simplifying the equation:

3x + 4x + 1 = 90
7x + 1 = 90

Subtracting 1 from both sides:

7x = 89

Dividing by 7:

x = 89/7

Therefore, the simplified equation corresponding to the measures of the angles is:

3(89/7) and 4(89/7) + 1 or

27/7 and 31/7