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yKpoI14uk [10]
3 years ago
10

Please help me..............................

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

y = 12

Step-by-step explanation:

∵ m∠ABC = 40

∵ BD ray is the bisector of ∠ABC

∴ m∠ABD = m∠CBD = 20

In 2 Δ BAD and BCD:

∵ m∠BAD = m∠BCD = 90°

∵ m∠ABD = m∠CBD = 20°

∵ BD is a common side in the two triangles

∴ ΔABD congruent to ΔCBD⇒(AAS)

∴ AD = CD

∴ 3y + 6 = 5y - 18

∴ 5y - 3y = 6 + 18

∴ 2y = 24

∴ y = 24/2 = 12

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