Solve Equations with Adjacent Angles Practice%0D%0AComplete this assessment to review what you've learned. It will not count toward your grade.%0D%0A3 of 53 of 5 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0ATwo adjacent angles are inside a 90°%0D%0A90%0D%0A°%0D%0A angle. One angle has a measure of (x+4)°%0D%0A(%0D%0A%0D%0A+%0D%0A4%0D%0A)%0D%0A°%0D%0A and the other angle has a measure of (3x+2)°%0D%0A(%0D%0A3%0D%0A%0D%0A+%0D%0A2%0D%0A)%0D%0A°%0D%0A. What is x%0D%0A%0D%0A?%0D%0A%0D%0A%0D%0A%0D%0A(1 point)%0D%0A°

1 answer

To solve for x, we need to set up an equation based on the given information. Since the angles are adjacent and inside a 90° angle, we know that their sum must equal 90°.

We can write this as:

(x + 4)° + (3x + 2)° = 90°

To solve the equation, combine like terms:

4x + 6 = 90

Next, subtract 6 from both sides:

4x = 84

Finally, divide both sides by 4:

x = 21

Therefore, x = 21.