Let's solve for x first.
According to the problem, the two adjacent angles have measures (x+10) and 3x.
Since the total measure of an obtuse angle is 180 degrees, we can write the equation: (x+10) + 3x = 118.
Combining like terms, we get 4x + 10 = 118.
Subtracting 10 from both sides, we have 4x = 108.
Dividing both sides by 4, we get x = 27.
Now that we found x, we can substitute it back into the expressions for the measures of the two unknown angles.
The measure of the first unknown angle is (x+10) = 27 + 10 = 37 degrees.
The measure of the second unknown angle is 3x = 3(27) = 81 degrees.
Therefore, the angles of the two unknown angles are 37 degrees and 81 degrees.
an obtuse angle is formed by two adjacent angles with measures (x+10) and 3x. If the resulting angles measures is 118 what is the angle of the two unknown angles
1 answer
1 answer