Respuesta :

Answer:

Step-by-step explanation:

From the markings AB = AC

<B = <C  because they are opposite equal sides.

Since B = 39 then C = 39

All triangles have 180 degrees.

x + B + C = 180

x + 39 + 39 = 180

x + 78  = 180

x + 78 - 78 =180 -78

x = 102

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

Here side AB is equal to side AC (AB = AC) because of the markings placed in figure.

Next one is that [tex]\angle[/tex] B is equal to [tex]\angle[/tex] C. Here in information provided we've been given that angle B measures 39° thus angle C is also 39°. (Angle B = Angle C = 39°)

We know that sum of all angles in triangle is 180°.

[tex]:\implies\tt{a + b + c = 180}[/tex]

[tex]:\implies\tt{x + 39 + 39 = 180}[/tex]

[tex]:\implies\tt{x + 78 = 180}[/tex]

[tex]:\implies\tt{x = 180 - 78}[/tex]

[tex]:\implies\tt{x = 102}[/tex]

  • The measure of angle x is 102°.

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