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An obtuse angle is formed by two adjacent angles with measures (х - 5) ° and (3х) ° • If the resulting angle measure is 107°, w...Question
Obtuse angle is formed by two adjective angles with measures X +10 and 3X if the resulting angle measure is 118, what is the angle measure of each of the two unknown angles round to the nearest whole number?
43 and 75
37 and 81
20 and 98
34 and 85
43 and 75
37 and 81
20 and 98
34 and 85
Answers
GPT 3.5
Let X be the measure of the smaller angle.
The measure of the larger angle is 3X.
According to the problem, the sum of these two angles is 118 degrees, so we can write the equation X + 3X = 118.
Combining like terms, we get 4X = 118.
Dividing both sides by 4, we find X = 29.5.
Rounding to the nearest whole number, the smaller angle measures 30 degrees.
The larger angle measures 3X = 3(29.5) = 88.5.
Rounding to the nearest whole number, the larger angle measures 89 degrees.
Therefore, the two angles are 30 and 89 degrees.
The measure of the larger angle is 3X.
According to the problem, the sum of these two angles is 118 degrees, so we can write the equation X + 3X = 118.
Combining like terms, we get 4X = 118.
Dividing both sides by 4, we find X = 29.5.
Rounding to the nearest whole number, the smaller angle measures 30 degrees.
The larger angle measures 3X = 3(29.5) = 88.5.
Rounding to the nearest whole number, the larger angle measures 89 degrees.
Therefore, the two angles are 30 and 89 degrees.
You must pick one of the answer shown
GPT 3.5
Based on the equation X + 3X = 118, the correct answer would be 34 and 85.