asfasdf71 asfasdf71

03-02-2020
Mathematics

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Ray BD bisects ∠ ABC so that m ∠ DBC = (x + 8)o and m ∠ ABD = (2x - 15)o.

What is x?

Respuesta :

joshnajd joshnajd

10-02-2020

Equating the given angles, we will get x as 23.

Step-by-step explanation:

Since it is given that ray BD bisects ∠ABC, we can say that the angles <DBC and <ABD are equal.

Equating the angles, we will get,

<DBC = <ABD

(x+ 8)° = (2x-15)°

Grouping the terms, we will get,

2x-x = 8+ 15

x = 23

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