An obtuse angle is formed by two adjacent angles with measure (x - 5) degree and (3x) degree. If resulting angle measure is 107 degree, what is the angle measure of each of the two unknown angles? Round to the nearest whole number
Options:
32 and 75 degrees
20 and 87 degrees
23 and 84 degrees
28 and 79 degrees
Let's set up an equation to solve for the value of x:
(x - 5) + (3x) = 107
Combine like terms:
4x - 5 = 107
Add 5 to both sides of the equation:
4x = 112
Divide both sides by 4:
x = 28
Now we can find the angle measures of the two unknown angles:
First angle: x - 5 = 28 - 5 = 23 degrees
Second angle: 3x = 3(28) = 84 degrees
Therefore, the angle measures of the two unknown angles are 23 and 84 degrees (option C).