Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sum of the two adjacent angles equals the measure of the obtuse angle, which is 107°. Therefore, we can write the equation:

(x - 5) + (3x) = 107

Combining like terms, we have:

4x - 5 = 107

Adding 5 to both sides, we get:

4x = 112

Dividing both sides by 4, we find:

x = 28

Now we can substitute x back into the expressions for the two unknown angles:

(x - 5) = (28 - 5) = 23°
(3x) = (3 * 28) = 84°

Therefore, the two unknown angles are approximately 23° and 84°.