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) Responses A (1x+1)°=180° B (7x+1)°=180° C 180 degrees (7x+1)°=90° D (1x+1)°=90°
To be considered complementary, the sum of the measures of the two angles must be equal to 90°.
The sum of the measures of the two angles is (3x°) + (4x+1)° = 7x+1°.
Therefore, the simplified equation corresponding to the measures of the angles is:
7x+1° = 90°
The correct answer is (B) 7x+1°=180°.
3x - 22
Sorry, there seems to be an error in my previous response. Let's correct it.
If the two angles are complementary, their sum must be equal to 90°. The sum of the measures of the two angles is (3x°) + (4x+1)°.
So, we have the equation:
(3x°) + (4x+1)° = 90°
Now, let's simplify this equation:
3x + 4x + 1 = 90
Combining like terms, we get:
7x + 1 = 90
To solve for x, we subtract 1 from both sides of the equation:
7x = 89
Finally, we divide both sides of the equation by 7:
x = 89/7
The correct equation corresponding to the measures of the angles is x = 89/7.
Therefore, the correct answer is not listed among the options provided.