Question

Sarah started the value of X in a triangle is 20.

A) X=20
B) X=4
C) X=5
D) X=16

Answer 1

Sarah started the value of X in a triangle is A)
`\( X = 20 \)`

Step-by-step explanation:

The correct answer is A)
`\( X = 20 \).` This is because the given information explicitly states that Sarah started with the value of
`\( X \)`being 20 in a triangle. Therefore, the correct choice is the one that aligns with this initial value.

In the context of a triangle, the sum of its interior angles is always 180 degrees. The value of
`\( X \)` represents one of these angles. So, in this case, if
`\( X = 20 \)`, the sum of the other two angles must be
`\( 180 - 20 = 160 \)`degrees. The options B, C, and D are incorrect as they suggest different values for
`\( X \),` which do not adhere to the given information that
`\( X \)` starts at 20.

Understanding basic principles of geometry, such as the sum of interior angles in a triangle, is crucial to solving problems like these. Therefore, the correct interpretation of the initial value of
`\( X \)` as 20 leads to the choice A being the correct answer.