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In the accompanying diagram of AABC, side AB is
extended to D. If mLACB = x + 30, mL CAB = 2x + 10, and
mZCBD = 4x + 30, what is the value of x?

In the accompanying diagram of AABC side AB is extended to D If mLACB x 30 mL CAB 2x 10 and mZCBD 4x 30 what is the value of x class=

Respuesta :

Answer:

x = 10

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠CBD is an external angle of the triangle, thus

4x + 30 = 2x + 10 + x + 30, that is

4x + 30 = 3x + 40 ( subtract 3x from both sides )

x + 30 = 40 ( subtract 30 from both sides )

x = 10

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