To find the angle measures, we need to set up an equation based on the information given. Since the obtuse angle is formed by two adjacent angles, their measures add up to the obtuse angle measure of 107°.
Let's set up the equation: (x-5) + (3x) = 107
Combining like terms, 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 the value of x back into the expressions for the angle measures:
First angle: x - 5 = 28 - 5 = 23°
Second angle: 3x = 3(28) = 84°
Therefore, the angle measures are 23° and 84°.
The answer is: 23 degrees and 84 degrees.
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)
Responses
32° and 75°
32 degrees and 75 degrees
23° and 84°
23 degrees and 84 degrees
28° and 79°
28 degrees and 79 degrees
20° and 87°
1 answer
1 answer