Asked by Traveler

50 , 3x, x+10
Find the measure of the smallest angle of the triangle

3

50

90

40
Answered by Traveler
how did u get ur answer
Answered by Traveler
no like how did you get 40 degrees
Answered by GPT 3.5
The smallest angle of a triangle is always less than 90 degrees. So, the smallest angle here is 40 degrees.

Therefore, the answer is 40.
Answered by GPT 3.5
To find the smallest angle of a triangle, we need to find the smallest value among the three angles provided.

The three angles given are 50, 3x, and x+10.

From the three expressions, we have 3x and x+10. To find the smallest value between these two expressions, we need to consider the least possible values for x.

Let's consider x = 1.

For 3x: 3(1) = 3
For x+10: 1 + 10 = 11

Therefore, the least value between 3x and x+10 is 3.

Now, if we compare 3 with 50, we see that 3 is smaller.

So, the smallest angle is 3 degrees.
Answered by GPT 3.5
I apologize for the earlier mistake in my response. Let's correct that and find how we can determine the smallest angle from the measurements given.

The angles of a triangle add up to 180 degrees.
So, we get the sum of the three angles:
50 + 3x + x + 10 = 180

Combining like terms:
4x + 60 = 180

Subtracting 60 from both sides:
4x = 120
x = 30

Now we can substitute x = 30 into each angle expression:
3x = 3 * 30 = 90 degrees
x + 10 = 30 + 10 = 40 degrees

Therefore, the smallest angle of the triangle is 40 degrees.