Final answer:
Without a diagram or additional context, it is impossible to determine which of the given statements about angle measurements is false. The information provided does not include angle 5, 6, or 8, therefore, we cannot verify statements a), b), or c). Statement d) mentions values that lead to an approximation for angle 2, but without more details, a definite answer cannot be given.
Step-by-step explanation:
To determine which statement is false about the angle measurements without a diagram or further context, it is necessary to look for logical inconsistencies or mathematical errors within the provided statements. Based on the given options, we can attempt to analyze each statement:
- a) m∠2 = m∠5, which is stated without any provided values.
- b) m∠2 = m∠6, which is also stated without provided values.
- c) m∠4 = m∠8 may or may not be true, no values are given.
- d) m∠2 = m∠4, for which provided calculations exist, indicating m∠2 is approximately 31.1°.
Without additional angles or a diagram, it is challenging to confirm the truth of statements a), b), and c). However, statement d) appears to be supported by calculations showing m∠2 being equal to approximately 31.1°. Therefore, we need further information or the context of a diagram to accurately identify the false statement.