To determine the angle measure of each of the unknown angles, we need to find the values of x for which the sum of (x-5)° and (3x)° equals 107°.
(x-5)° + (3x)° = 107°
Combining like terms:
4x - 5 = 107
Adding 5 to both sides:
4x = 112
Dividing both sides by 4:
x = 28
Substituting x = 28 into the expressions for the two unknown angles:
(x-5)° = (28-5)° = 23°
(3x)° = (3*28)° = 84°
Therefore, the angle measures of the two unknown angles are approximately 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
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1 answer