De la figura. Calcular "X".... Question from @Nihaohi

Nihaohi @Nihaohi

April 2021 1 13 Report

De la figura. Calcular "X"

Meganium123

Respuesta:

x = 75°

Explicación paso a paso:

TRIANGULOS.

Propiedades.

(1) Ángulos formados por dos bisectrices interiores.

$\mathsf{∠BDC = 90° + \frac{∠BAC}{2}}\\ \mathsf{ ∠BDC = 90° + \frac{80°}{2}} \\ \mathsf{∠BDC = 90° + 40°} \\ \boxed{\mathsf{∠BDC = 150°}}$

Donde usaremos la propiedad de medida del ángulo exterior.

$\mathsf{2x = 150°} \\ \mathsf{x = \frac{150°}{2}} \\ \boxed{ \mathsf{x = 75°}}$

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