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alexandr1967 [171]
2 years ago
9

Please look at screen shot

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
3 0

Answer:

Quick Clean..........

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Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

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m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

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Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

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              = 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

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