Two angles in a triangle measure 34 °

Question

and 101 °
. What is the measure of the third angle?(1 point)
Responses

32°
32degree

39°
39degree

45°
45degree

54°

Answer 1

To find the measure of the third angle in a triangle, you can use the fact that the sum of the angles in a triangle is always 180°.

Given the two angles:

1. \(34°\)
2. \(101°\)

You can find the third angle (\(x\)) using the equation:

\[ x = 180° - (34° + 101°) \]

Calculating the sum of the two given angles:

\[ 34° + 101° = 135° \]

Now subtract that from 180°:

\[ x = 180° - 135° = 45° \]

So, the measure of the third angle is 45°.