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)
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