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Sergeu [11.5K]
3 years ago
6

Help me find Angle BAD

Mathematics
2 answers:
azamat3 years ago
4 0

Answer:

BAD = 64°

Step-by-step explanation:

ADE = (180-52):2 = 64°

ED || AB => ADE = BAD = 64°

34kurt3 years ago
3 0

We have parallelogram ABCD and isosceles triangle ADE, with equal angles ∠ADE = ∠AED.  

∠ADE + ∠AED + ∠EAD = 180°

2 ∠ADE + 52° = 180°

∠ADE = (180° -52°) / 2 = 64°

∠ADE and ∠BAD are alternate interior angles of a transversal through parallel lines, so they're congruent.  So ∠BAD is

Answer: 64°

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