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.

Question

43 and 75
37 and 81
20 and 98
34 and 84

Answer 1

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