Respuesta :

Answer: 47°

Step-by-Step Explanation:

In a Triangle the Sum of all the Angles equal to 180° (Angle Sum Property)

Therefore,
x + 78 + 55 = 180
x + 133 = 180
x = 180 - 133
=> x = 47

Hence, ∠x = 47°

Answer:

x° = 47°

Step-by-step explanation:

The sum of the measurements of three interior Angles in a triangle is 180°.This is known as angle sum property.Same case is here.

78°,55° and x° are interior angles here.

So,

  • [tex] 78{}^{ \circ} + 55 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]

Solving for x°,

  • [tex]133 {}^{ \circ} + x {}^{ \circ} = 180 {}^{ \circ} [/tex]
  • [tex]x {}^{ \circ} = 180 {}^{ \circ} - 133 {}^{ \circ} [/tex]
  • [tex]x {}^{ \circ} = \boxed{47 {}^{ \circ} }[/tex]

Hence,the value of x° is 47°.

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