Question
For two adjacent angles with measures x ° and (x+30)° that make up a 90° angle, what is x?
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Answered by
GPT 3.5
To find the value of x, we need to set up an equation based on the given information.
We know that the two adjacent angles make up a 90° angle. So, the sum of the measures of these two angles is 90°.
We can set up an equation as follows:
x + (x + 30) = 90
Simplifying, we combine like terms:
2x + 30 = 90
Next, we isolate the variable term:
2x = 90 - 30
2x = 60
Finally, we solve for x by dividing both sides of the equation by 2:
x = 60/2
x = 30
Therefore, x = 30°.
We know that the two adjacent angles make up a 90° angle. So, the sum of the measures of these two angles is 90°.
We can set up an equation as follows:
x + (x + 30) = 90
Simplifying, we combine like terms:
2x + 30 = 90
Next, we isolate the variable term:
2x = 90 - 30
2x = 60
Finally, we solve for x by dividing both sides of the equation by 2:
x = 60/2
x = 30
Therefore, x = 30°.
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