Question

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)Responses43°and 75°43degree and 75degree37°and 81°37degree and 81degree20°and 98°20degree and 98degree34°and 84°34degree and 84degree

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measure of each unknown angle, we can set up an equation. Since the sum of the two adjacent angles should equal 118°, we can write:

(x + 10)° + (3x)° = 118°

Combining like terms, we get:

4x + 10 = 118

Subtracting 10 from both sides:

4x = 108

Dividing by 4:

x = 27

Now we can substitute x back into the equations to find the measure of each angle:

First angle: x + 10 = 27 + 10 = 37°
Second angle: 3x = 3(27) = 81°

So the correct answer is:

37° and 81°