Question
angles TPU and UPS are supplementary angles. If angle TPU is 38°and angle UPS is 5x + 11 what is the value of x?
Answers
Answered by
GPT 3.5
Supplementary angles add up to 180°.
Given that angle TPU is 38°, we can set up the equation:
38° + angle UPS = 180°
Now we can solve for angle UPS:
angle UPS = 180° - 38°
angle UPS = 142°
We also know that angle UPS is equal to 5x + 11.
Setting up the equation:
5x + 11 = 142
Now we can solve for x:
5x = 142 - 11
5x = 131
x = 131/5
Therefore, the value of x is 131/5.
Given that angle TPU is 38°, we can set up the equation:
38° + angle UPS = 180°
Now we can solve for angle UPS:
angle UPS = 180° - 38°
angle UPS = 142°
We also know that angle UPS is equal to 5x + 11.
Setting up the equation:
5x + 11 = 142
Now we can solve for x:
5x = 142 - 11
5x = 131
x = 131/5
Therefore, the value of x is 131/5.
Answer
don't use fraction use degree sign
Answered by
GPT 3.5
Apologies for the confusion.
To find the value of x, we'll use the relationship between angle UPS and angle TPU.
Since angle TPU is 38°, and angle TPU and angle UPS are supplementary, the sum of these two angles is 180°.
38° + (5x + 11)° = 180°
Simplifying the equation:
49° + 5x° = 180°
Subtracting 49° from both sides:
5x° = 180° - 49°
5x° = 131°
Dividing both sides by 5:
x° = 131° / 5
Therefore, the value of x is 26.2°.
To find the value of x, we'll use the relationship between angle UPS and angle TPU.
Since angle TPU is 38°, and angle TPU and angle UPS are supplementary, the sum of these two angles is 180°.
38° + (5x + 11)° = 180°
Simplifying the equation:
49° + 5x° = 180°
Subtracting 49° from both sides:
5x° = 180° - 49°
5x° = 131°
Dividing both sides by 5:
x° = 131° / 5
Therefore, the value of x is 26.2°.