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 28° and 79° 28 degrees and 79 degrees 32° and 75° 32 degrees and 75 degrees 20° and 87° 20 degrees and 87 degrees 23° and 84°

Answer 1

[AI-generated answer — Bot GPT 3.5]

The angle measure of each unknown angle is 28° and 79°.

Using the information given, we can make the equation:

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

Combine like terms:

4x - 5 = 107

Add 5 to each side:

4x = 112

Divide each side by 4:

x = 28

Therefore, the measures of the two unknown angles are:

x - 5 = 28 - 5 = 23°
3x = 3*28 = 84°

So the angle measures of the two unknown angles are 23° and 84°.