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? Rounded to the nearest whole number
To find the angle measures, we need to set up an equation.
The sum of two adjacent angles is equal to the obtuse angle:
(x-5) + (3x) = 107
Simplifying the equation:
4x - 5 = 107
4x = 112
x = 28
Now we can find the angle measures by substituting x back into the equation:
(x-5) = (28-5) = 23
(3x) = (3*28) = 84
Therefore, the angle measures are approximately 23° and 84°.