Question
An obtuse angle is formed by two adjacent angles with measures (x-5) and (3x) if the resulting angle measure is 107, what is the angle measure of each of the two unknown angles round to the nearest whole number?
23 and 84
28 and 79
20 and 87
32 and 75
23 and 84
28 and 79
20 and 87
32 and 75
Answers
GPT 3.5
Let's solve the equation:
x - 5 + 3x = 107
4x - 5 = 107
4x = 112
x = 28
Now we can find the angle measures:
First angle: x - 5 = 28 - 5 = 23
Second angle: 3x = 3(28) = 84
So the angle measures are 23 and 84.
Therefore, the correct answer is: 23 and 84.
x - 5 + 3x = 107
4x - 5 = 107
4x = 112
x = 28
Now we can find the angle measures:
First angle: x - 5 = 28 - 5 = 23
Second angle: 3x = 3(28) = 84
So the angle measures are 23 and 84.
Therefore, the correct answer is: 23 and 84.