Question

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)

A. (1x+1)°=90°

B. (1x+1)°=180°

C. (7x+1)°=180°

D. (7x+1)°=90°

Answer 1

To solve this problem, we start from the definition of complementary angles. Two angles are complementary if the sum of their measures is 90 degrees.

We have two angles:
1. \( 3x^\circ \)
2. \( (4x + 1)^\circ \)

Since these angles are complementary, we can write the equation:

\[
3x + (4x + 1) = 90
\]

Now, simplify this equation:

\[
3x + 4x + 1 = 90
\]
\[
7x + 1 = 90
\]

The simplified equation is \( 7x + 1 = 90 \).

So, the correct answer is:

**D. (7x + 1)° = 90°**