2 answers
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To find the two unknown angles, we need to set up an equation based on the information given.
We know that the sum of the two adjacent angles of a right angle is 90°. Thus, we can write the equation:
x + (x+30) = 90
Now, let's solve the equation to find the value of x:
2x + 30 = 90 (combining like terms)
2x = 90 - 30 (subtracting 30 from both sides)
2x = 60 (simplifying)
x = 60/2 (dividing both sides by 2)
x = 30
Now that we have the value of x, we can substitute it back into the equation to find the two unknown angles:
First angle: x° = 30°
Second angle: (x+30)° = 30° + 30° = 60°
Therefore, the two unknown angles are 30° and 60°. The answer is option (C) 30° and 60°.