∠A and ∠B are complementary angles. m∠A = 5x −2 and m∠B = 3x+4 Which equation could you use to find the value of x? (1 point)
Since ∠A and ∠B are complementary angles, they add up to 90 degrees. Therefore, we can set up the equation:
m∠A + m∠B = 90
Substituting the given values, we have:
5x - 2 + 3x + 4 = 90
Simplifying the equation, we get:
8x + 2 = 90
Rearranging the equation to isolate x, we get:
8x = 90 - 2
8x = 88
Dividing both sides of the equation by 8, we get:
x = 11
Therefore, the equation that could be used to find the value of x is:
8x + 2 = 90
To find the value of x, we can use the fact that complementary angles add up to 90 degrees.
The equation we can use to find the value of x is:
m∠A + m∠B = 90
Substituting the given values, we get:
(5x - 2) + (3x + 4) = 90
Simplifying the equation gives us:
8x + 2 = 90
Therefore, the equation we could use to find the value of x is 8x + 2 = 90.
To find the value of x, we can set up an equation using the definition of complementary angles.
Complementary angles add up to 90 degrees.
So, we have the equation:
m∠A + m∠B = 90
Substituting the given values:
5x - 2 + 3x + 4 = 90
Now we can simplify and solve for x:
8x + 2 = 90
Subtract 2 from both sides:
8x = 88
Finally, divide both sides by 8:
x = 11
Therefore, the equation we can use to find the value of x is:
5x - 2 + 3x + 4 = 90