An obtuse angle is formed by two adjacent angles with measures (x + 10) ° and (3x) ° . If the resulting angle measure is 118 ° , what is the angle measure of each of the two unknown angles? Round to the nearest whole number. (1 point) Responses 43° and 75° 43degree and 75degree 37° and 81° 37degree and 81degree 20° and 98° 20degree and 98degree 34° and 84° 34degree and 84degree
The angle measures are given as (x + 10)° and (3x)°.
To find the value of x, we can set up an equation:
(x + 10) + (3x) = 118
4x + 10 = 118
4x = 108
x = 27
Now we can substitute the value of x back into the angle measures to find their values:
(x + 10)° = 27 + 10 = 37°
(3x)° = 3 * 27 = 81°
Therefore, the angle measures are 37° and 81°.
The correct answer is: 37° and 81°.