BE ⊥AC and ∠ABD = (3x)° ,∠DBE = (x – 10)° . Find ∠DBC
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Answer:
DBE = x - 10 + 90
so, 3x + x - 10 = 90
4x - 10 = 90
4x - 10 + 10 = 90 + 10
4x = 100
4x / 4 = 100 / 4
x = 25
so DBC = 25 - 10 + 90
15 + 90
115° ANSWER
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Answered by
2
Step-by-step explanation:
∠ABD + ∠DBE = ∠EBA
(3x)° + (x – 10)° = 90°
4x - 10° = 90°
4x = 90° + 10°
4x = 100°
x = 100° ÷ 4
x = 25°
∠DBE = (x – 10)°
= 25° - 10°
= 15°
∠DBC = 90° + 15°
= 105°
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