A figure displays two nonadjacent 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 point)

3 answers

To be complementary, the sum of the two angles should equal 90 degrees.
Therefore, we can write the equation:
3x + (4x + 1) = 90
Simplifying,
3x + 4x + 1 = 90
7x + 1 = 90
Subtracting 1 from both sides,
7x = 89
Dividing both sides by 7,
x = 89/7
Therefore, the simplified equation corresponding to the measures of the angles is:
3x + (4x + 1) = 90
Wrong
Oops, I made a mistake. My apologies for the incorrect response.

Let's try again:
If two angles are complementary, the sum of their measures should be 90 degrees.

Therefore, we can write the equation:
3x + (4x + 1) = 90

Now, let's simplify the equation:

3x + 4x + 1 = 90
7x + 1 = 90
Subtracting 1 from both sides:
7x = 89
Dividing both sides by 7:
x = 89/7

So the simplified equation corresponding to the measures of the angles is:
3x + (4x + 1) = 90