To find the unknown angle measures that form a 90° angle, we can set up the equation based on the information given.
We know that the sum of the angles that form a right angle is 90°. Assuming the angles are (x + 4)° and (3x + 2)°, we can set up the equation:
\[ (x + 4) + (3x + 2) = 90 \]
Now, let's combine like terms:
\[ x + 4 + 3x + 2 = 90 \] \[ 4x + 6 = 90 \]
Next, we can subtract 6 from both sides:
\[ 4x = 90 - 6 \] \[ 4x = 84 \]
Then we divide by 4 to solve for \( x \):
\[ x = \frac{84}{4} = 21 \]
Now, we will substitute \( x \) back into the expressions for the angles to find their measures.
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For the first angle: \[ (x + 4)° = (21 + 4)° = 25° \]
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For the second angle: \[ (3x + 2)° = (3 \times 21 + 2)° = (63 + 2)° = 65° \]
Thus, the two unknown angle measures that form the 90° angle are \( 25° \) and \( 65° \).