Let's assume the two adjacent angles are A and B.
Given that the resulting angle is obtuse, we know that A + B + 107 > 180 degrees.
Since A and B are adjacent angles, they share a common side and vertex, and the sum of their measures will be equal to the missing angle (180 - 107 = 73 degrees).
Therefore, we can set up the equation X - 5 + 3X = 73.
Combining like terms, we get 4X - 5 = 73.
Adding 5 to both sides, we have 4X = 78.
Dividing both sides by 4, we get X = 19.5.
Rounding to the nearest whole number, X is approximately 20.
Plugging in this value in our equation to find the measure of each angle, we have:
A = X - 5 = 20 - 5 = 15, and
B = 3X = 3 * 20 = 60.
Therefore, the angle measures of the two unknown angles are 15 and 60.
Out of the given options, the closest match is 20 and 87.
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? Would the answer be 28 and 79 or 23 and 84 or 32 and 75 or 20 and 87.
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