A figure displays two nonadjacent angles with measures 3x and (4x + 1) if the angles are completely what is the simplified equation corresponding to the measures of the angles? Answer choices (1x+1)=90 degrees, (7+1)=90 degrees, (7+1)=180 degree, (1x+1)=180
To find the sum of the two angles, we add their measures:
3x + (4x + 1) = 7x + 1
Since the angles are complementary, the sum of their measures should be 90 degrees. So, we set the equation 7x + 1 equal to 90:
7x + 1 = 90
Now, solve for x:
7x = 89
x = 89 / 7
x = 12.71
However, x cannot be a decimal in this context because the angles need to be expressed in whole numbers.
Therefore, the simplified equation corresponding to the measures of the angles is:
(7 + 1) = 90 degrees