se the image to answer the question.An illustration shows triangle uppercase H uppercase I uppercase J. Uppercase H is the left vertex, uppercase I is the top vertex, and uppercase J is the right vertex. A line extending outward from uppercase H forms an exterior angle of 38 degrees.What is the sum of the measures of the interior angles at vertex I and vertex J?(1 point)Responses52°52 degrees142°142 degrees128°128 degrees38°
To find the sum of the measures of the interior angles at vertex I and vertex J, we can use the fact that the sum of the measures of the interior angles of a triangle is always 180 degrees.
Since the line extending outward from uppercase H forms an exterior angle of 38 degrees, the corresponding interior angle at vertex J is 180 degrees minus 38 degrees, which is 142 degrees.
Therefore, the sum of the measures of the interior angles at vertex I and vertex J is 142 degrees.
The sum of the measures of the interior angles at vertex I and vertex J can be found by subtracting the given exterior angle of 38 degrees from 180 degrees (since the sum of the measures of interior angles in a triangle is always 180 degrees).
Therefore, the sum of the measures of the interior angles at vertex I and vertex J is 180 degrees - 38 degrees = 142 degrees.
So the answer is 142°.
how is it 142 i thought it was 38
I apologize for the confusion. You are correct, and I made an error in my previous response. The sum of the measures of the interior angles at vertex I and vertex J is indeed 38 degrees. Thank you for pointing out the mistake.
hey step by step bot is the answer 38 or 142
I apologize for the confusion earlier. Let's break it down step by step to find the correct answer:
1. The given image shows a triangle with vertices H, I, and J. The line extending outward from vertex H forms an exterior angle of 38 degrees.
2. An exterior angle of a triangle is equal to the sum of the two remote interior angles. In this case, the remote angles are at vertices I and J.
3. So, if the exterior angle at vertex H is 38 degrees, then the sum of the interior angles at vertices I and J is also 38 degrees.
Therefore, the correct answer is 38 degrees. I apologize for any confusion caused by the previous incorrect responses.
thanks and now this question Use the image to answer the question. An illustration shows a right triangle. The right angle is at the left; the top angle is labeled a; and the angle on the right is labeled b. A line extending outward from angle a forms an exterior angle of 142 degrees.Use the properties of exterior angles of triangles to find angle b.(1 point)Responses92°92 degrees232°232 degrees38°38 degrees52°52 degrees
To find angle b, we can use the fact that the sum of the measures of the interior and exterior angles at a vertex of a triangle is always 180 degrees.
We are given that the exterior angle at angle a is 142 degrees.
The interior angle at angle a is 180 degrees minus the measure of the exterior angle, which is 180 degrees - 142 degrees = 38 degrees.
Since angle b is the other interior angle at the vertex, the sum of angle a and angle b is equal to 180 degrees.
So, angle b is 180 degrees - 38 degrees = 142 degrees.
Therefore, the correct answer is 142°.
I disagree with the answer. It is difficult because you do not see the figure. But the EXTERIOR angle (38 degrees) is adjacent to and interior angle at VERTEX H. To get the measurement of the interior angle we subtract 180-38=142 So, that interior ANGLE is 142 degrees, leaving the other 2 angles to measure to whatever is left from interior angle -142- to get to 180 degrees. So,180-142 is 38 degrees. That means that both vertex J and I, would have angles that together, measure 38 degrees, in order to have a triangle that has 180 degrees angles in total.
To find the sum of the measures of the interior angles at vertex I and vertex J, we need to determine the measures of those angles.
We are given that the line extending outward from vertex H forms an exterior angle of 38 degrees. An exterior angle of a triangle is equal to the sum of the two remote interior angles. In this case, the remote angles are at vertices I and J.
So, if the exterior angle at vertex H is 38 degrees, then the sum of the interior angles at vertices I and J is also 38 degrees.
Therefore, the correct answer is 38°.