Solve Equations with Adjacent Angles Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other has a measure of (3x+2)°. What is x?
A 90-degree angle is shown on a white background. A ray is splitting the 90-degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.
To find x, we can set up an equation using the given information:
(x + 4) + (3x + 2) = 90
Combine like terms:
4x + 6 = 90
Subtract 6 from both sides:
4x = 84
Divide both sides by 4:
x = 21
Therefore, x is equal to 21.