1. The problem asks to verify the correctness of the given angle measures in two figures involving parallel lines and transversals.
2. For the first figure with angles a=83°, b=97°, c=83°, d=97°, e=83°, f=90°, g=90°:
- Since a and c are corresponding angles, both 83° is correct.
- b and d are alternate interior angles, both 97° is correct.
- e matches a and c, so 83° is correct.
- f and g are right angles (90°), which is consistent.
3. For the second figure with angles a=123°, b=128°, c=57°, d=57°, e=123°, f=118°, g=62°, h=118°, i=118°, j=62°, k=62°, n=62°:
- Angles a and e are equal (123°), consistent with corresponding angles.
- Angles b=128° and h=118° differ, which is unusual; typically corresponding or vertical angles should be equal.
- Angles c and d both 57° are equal, consistent.
- Angles f, h, i all 118° are equal, consistent.
- Angles g, j, k, n all 62° are equal, consistent.
4. The discrepancy between b=128° and h=118° suggests a possible error.
5. Overall, most angles are consistent with parallel line angle rules except for the mismatch between b and h.
Final conclusion: Your answers are mostly correct except for the inconsistency between angles b and h in the second figure, which should be checked again.
Angle Verification Aea574
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