To solve this, we can set up the equation (x-5) + (3x) = 107, since the sum of the two angles equal the resulting angle.
Simplifying this equation, we have 4x - 5 = 107.
Adding 5 to both sides, we have 4x = 112.
Dividing both sides by 4, we have x = 28.
Substituting this value back into the original equation, we have (28-5) + (3*28) = 107.
Simplifying, we have 23 + 84 = 107.
Therefore, the two unknown angles have measures of 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)
1 answer
1 answer