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?
Answer
don't use fraction use degree sign
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.
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°.