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 whole number.(1 point) Responses 32° and 75° 32 degrees and 75 degrees 23° and 84° 23 degrees and 84 degrees 20° and 87° 20 degrees and 87 degrees 28° and 79°

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's set up an equation to solve for x:

(x-5) + (3x) = 107

Combine like terms:

4x - 5 = 107

Add 5 to both sides:

4x = 112

Divide by 4:

x = 28

Now we can find the measure of each angle:

(x-5) = (28-5) = 23 degrees

(3x) = (3*28) = 84 degrees

So, the angle measures of the two unknown angles are 23 degrees and 84 degrees. The answer is 23° and 84°.