Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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°.