A figure displays two non adjacent angles, with measures 3x° and (4x + 1) ° . If the two angles are complementary, what is the simplifed equation corresponding to the measures of angles!

Answer 1

Based on the problem, we know that two angles are complementary when their measures add up to 90 degrees. Therefore, we can set up the equation:

3x + (4x + 1) = 90

Simplifying the equation, we combine like terms:

7x + 1 = 90

Subtracting 1 from both sides to isolate the variable:

7x = 89

Dividing both sides by 7 to solve for x:

x = 89/7

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

3x + (4x + 1) = 90.