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

1 answer

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°.