We know that the sum of the two adjacent angles forms the obtuse angle, so we can write the equation:
(x-5) + (3x) = 107
Simplifying the equation, we get:
4x - 5 = 107
Adding 5 to both sides, we get:
4x = 112
Dividing both sides by 4, we get:
x = 28
Now, we can substitute x back into the equation to find the values of the two unknown angles:
First unknown angle: (x-5) = (28-5) = 23 degrees
Second unknown angle: (3x) = (3*28) = 84 degrees
Therefore, the angle measures of the two unknown angles are 23° and 84°.
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.(1 point)Responses20° and 87°20 degrees and 87 degrees28° and 79°28 degrees and 79 degrees32° and 75°32 degrees and 75 degrees23° and 84°
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