Question

our triangles are shown.



Based on these triangles, which statement is true?
Responses
A w = 110°, because 180 – (55 + 55) = 70 and 180 – 70 = 110w = 110°, because 180 – (55 + 55) = 70 and 180 – 70 = 110
B z = 110°, because 180 – (55 + 55) = 70 and 180 – 70 = 110z = 110°, because 180 – (55 + 55) = 70 and 180 – 70 = 110
C w = 80°, because 180 – (55 + 55) = 110 and 180 – 110 = 70w = 80°, because 180 – (55 + 55) = 110 and 180 – 110 = 70
D z = 100°, because 180 – (55 + 55) = 80 and 180 – 80 = 100

Answer 1

To determine which statement is true, we need to analyze the triangles based on the information given. The angles provided are 55°, 55°, and the unknown angle w or z.

For a triangle, the sum of all angles must equal 180°.

1. If we have two angles of 55°:
- The total of these two angles is 55° + 55° = 110°.

2. To find the third angle:
- We subtract the sum of the two angles from 180°:
- 180° - 110° = 70°.

So, the third angle, which we can assume to be either w or z, equals 70°.

Now let's evaluate the statements:

A. w = 110° (incorrect, since we calculated w = 70°)
B. z = 110° (incorrect, since we calculated z = 70°)
C. w = 80° (incorrect, since we calculated w = 70°)
D. z = 100° (incorrect, since we calculated z = 70°)

Since all statements A, B, C, and D suggest incorrect values, none of the provided responses are true. The correct third angle, based on given data, should be 70°.