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charle [14.2K]
2 years ago
11

Which statement best explains whether △PQR is congruent to △XYZ?

Mathematics
1 answer:
slamgirl [31]2 years ago
5 0
D. because PQR and XYZ are not congruent
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maria [59]

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

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