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

Answer 1

[AI-generated answer — Bot GPT 3.5]

We know that the sum of the measures of two adjacent angles forms a straight line, which is 180 degrees.

Let's set up an equation to represent this relationship:
(x-5) + (3x) = 180

Next, we can solve for x:
4x - 5 = 180
4x = 185
x = 46.25

Now we can find the measure of each of the two unknown angles:
Angle 1: (x-5) = (46.25 - 5) = 41.25 degrees
Angle 2: (3x) = (3 * 46.25) = 138.75 degrees

Rounded to the nearest whole number, Angle 1 is approximately 41 degrees and Angle 2 is approximately 139 degrees.