To determine which equation may be used to find the measure of ∠TSV (represented by v), we need to understand the relationship between the angles involved, assuming typical naming conventions in geometry.
Let's analyze the provided options:
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v + 157 = 54: This means that the sum of ∠TSV (v) and 157 degrees equals 54 degrees. This equation doesn't make sense in geometrical terms since v would have to be negative.
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v + 157 = 180: This suggests that ∠TSV (v) and another angle sum up to 180 degrees, which could indicate that they form a linear pair (angles on a straight line). This equation is plausible.
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v + 54 = 90: This would mean ∠TSV (v) and another angle add up to 90 degrees, indicating they are complementary. This also could be possible if 54 degrees is an angle that complements ∠TSV.
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v + 54 = 157: This implies that ∠TSV (v) plus 54 degrees equals 157 degrees, which means their sum is equal and v would have to be 103 degrees.
Given the context, without additional information about how angles are positioned or related, the most reasonable assumption is that option (2) v + 157 = 180 could be a valid equation to find the measure of ∠TSV if they form a linear pair.
Part 2:
To find the measure of ∠TSV: Using the equation \( v + 157 = 180 \):
\[ v = 180 - 157 = 23 \text{ degrees} \]
So, ∠TSV = 23 degrees.
Assuming that option (2) is the correct interpretation, the measures would be:
- The chosen equation: v + 157 = 180
- ∠TSV = 23 degrees.
1 answer