An obtuse angle is formed by two adjacent angles with measures of X -5° and 3X if the resulting angle measures 107°, what is the angle measure of each of the two unknown angles round to the nearest whole number?

Answer 1

First, we need to set up an equation based on the information given:

(X - 5) + 3X = 107

Combining 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 unknown angles to find their measures:

Angle 1: X - 5 = 28 - 5 = 23°
Angle 2: 3X = 3(28) = 84°

Therefore, the two unknown angles measure 23° and 84° respectively.