An obtuse angle is formed by two adjacent angels with measures (x + 10) and (x3). 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.
43 and 75
37 and 81
20 and 98
34 and 84
Let's solve this problem mathematically.
We are given that the sum of the two angles is 118, so we can write the equation:
(x + 10) + (x3) = 118
Combine like terms:
x + 10 + 3x = 118
4x + 10 = 118
Subtract 10 from both sides:
4x = 108
Divide both sides by 4:
x = 27
Now we can substitute this value back into the original equation to find the measures of the two unknown angles:
First angle = x + 10 = 27 + 10 = 37
Second angle = x3 = 27 * 3 = 81
So the angle measures are 37 and 81.
Rounded to the nearest whole number, the answer is:
37 and 81. Answer: B