Final answer:
To find the measure of the angle between the expressions 25x+5 and 27x−3, the context of a linear pair of angles summing to 180° is presumed, and calculations would follow from setting the expressions equal. However, the calculated value of 1.84° doesn't match any given options, suggesting an error or lack of context in the question.
Step-by-step explanation:
To find the measure of the angle indicated in bold between the expressions 25x+5 and 27x−3, we should set the two expressions equal to each other since they represent angles that, together, form a linear pair. This is based on the presumption that the context of the problem involves linear pairs of angles, which sum up to 180°.
By setting the two expressions equal to each other, we get:
- 25x + 5 + 27x - 3 = 180°
- 52x + 2 = 180°
- 52x = 180° - 2
- 52x = 178°
- x = 178° / 52
- x ≈ 3.42° (After doing the division, we round if necessary.)
With x found, we can calculate the difference in angles:
- 27x - (25x + 5)
- 27(3.42°) - (25(3.42°) + 5)
- 92.34° - (85.5° + 5)
- 92.34° - 90.5°
- ≈ 1.84°
Therefore, the closest answer provided by the options would be (d) x+5°, only if x was approximately equal to -3.16°, which is not the case here. None of the options given correctly matches the calculated angle, so the answer should be none of the above. However, without the context that the angles form a linear pair, we cannot definitively conclude the answer, and the information given is not sufficient to solve the problem.