Question

Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram.

(1 point)
Responses

59°
59
°
, 63°
63
°
, and 48°
48
°
59 degrees , 63 degrees , and 48 degrees

57°
57
°
, 54°
54
°
, and 69°
69
°
57 degrees , 54 degrees , and 69 degrees

59°
59
°
, 58°
58
°
, and 63°
63

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees.

To determine which set of angles is correct, let's check the sums of the angles provided in the responses:

1. **59°, 63°, and 48°:**
\[
59 + 63 + 48 = 170 \text{ degrees}
\]
(Not valid since it does not sum up to 180 degrees)

2. **57°, 54°, and 69°:**
\[
57 + 54 + 69 = 180 \text{ degrees}
\]
(Valid since it sums to 180 degrees)

3. **59°, 58°, and 63°:**
\[
59 + 58 + 63 = 180 \text{ degrees}
\]
(Valid since it sums to 180 degrees)

Thus, the correct measures of the angles based on the Triangle Angle Sum Theorem are 57°, 54°, and 69° or 59°, 58°, and 63°.

If only one option needs to be selected as correct, based on the calculated values, both the second and third options are valid. If two are needed, you can state both as valid.

Answer 2

i just need one valid