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?
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.