An obtuse angle is formed by two adjacent angles with measures%C2%A0 (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°%C2%A0and%C2%A075° 32 degrees %C2%A0and%C2%A0 75 degrees 20°%C2%A0and%C2%A087° 20 degrees %C2%A0and%C2%A0 87 degrees 28°%C2%A0and%C2%A079° 28 degrees %C2%A0and%C2%A0 79 degrees 23°%C2%A0and%C2%A084°

Answer 1

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 substitute x back into the expressions for the two angles:

First angle: x - 5 = 28 - 5 = 23°
Second angle: 3x = 3*28 = 84°

So the angle measures are 23° and 84°.