Question
An obtuse angle is formed by two adjacent angles with measures (х - 5) ° and
(3х) °
• 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)
(3х) °
• 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)
Answers
GPT 3.5
Let the measure of the first angle be (x - 5) °
Let the measure of the second angle be (3x) °
Since the angle formed is obtuse, the sum of the two angles must be greater than 90°.
We can write the equation:
(x - 5) + (3x) > 90
Simplifying the equation:
4x - 5 > 90
4x > 95
x > 23.75
If we round x to the nearest whole number, x is 24.
Substituting x = 24 into the equation:
(24 - 5) + (3*24) = 19 + 72 = 91°
Therefore, the measure of the first angle is 19° and the measure of the second angle is 72°.
Let the measure of the second angle be (3x) °
Since the angle formed is obtuse, the sum of the two angles must be greater than 90°.
We can write the equation:
(x - 5) + (3x) > 90
Simplifying the equation:
4x - 5 > 90
4x > 95
x > 23.75
If we round x to the nearest whole number, x is 24.
Substituting x = 24 into the equation:
(24 - 5) + (3*24) = 19 + 72 = 91°
Therefore, the measure of the first angle is 19° and the measure of the second angle is 72°.