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Geometry Practice Test 1
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© examsnet.com
Question : 30
Total: 40
Find ∠x if in Δxyz, the angle bisector of ∠y and ∠z meet at o and subtend ∠110°.
30°
80°
40°
65°
90°
Validate
Solution:
👈: Video Solution
In Δyoz,
∠oyz + ∠ozy + 110 = 180°
∠oyz + ∠ozy = 70°
In Δxyz,
∠y + ∠z = 2 (∠oyz + ∠ozy)
∠y + ∠z = 2 (70°)
∠y + ∠z = 140°
∠x = 180° - ∠y - ∠z
∠x = 180° - 140°
∠x = 40°
© examsnet.com
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