Let's solve for x.
Since the angle measure of an obtuse angle is greater than 90°, we can set up the equation:
(x-5) + (3x) = 107
Combining like terms:
4x - 5 = 107
Adding 5 to both sides:
4x = 112
Dividing by 4:
x = 28
Now, we can substitute x back into the expressions for the two unknown angles.
Angle 1: (x-5) = (28-5) = 23°
Angle 2: (3x) = (3*28) = 84°
Therefore, the two unknown angles are 23° and 84°.
The answer is A 23° and 84°.
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? Round to the nearest whole number.(1 point)
Responses
A 23° and 84°
B 32° and 75°
C 20° and 87°
D 28° and 79°
1 answer