Respuesta :

wegnerkolmp2741o

Answer:

x = 78

Step-by-step explanation:

We can find angle y

D + B + y = 180 since the sum of the angles of a triangle are 180

31+47+ y =180

78+y = 180

y = 180 - 78

y = 102

x+y = 180 since they form a straight line

x + 102 = 180

x = 180-102

x = 78

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QueenOfAttitude

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we have to find the value of the x°=<GHC

In the triangle BDH,

  • <D=31°
  • <B=47°

we know that,

Sum of three angle of a triangle is 180°

According to the question,

  • <D+<B+<BHD=180°

  • 31°+47°+<BHD=180°

  • 78°+<BHD=180°

  • <BHD=180°-78°

  • <BHD=102°

But,

<GHC and <BHD forms a straight line

so,

  • <GHC+<BHD=180°

  • 102°+x=180°

  • x=180°-102°

  • x=78°

Therefore,

The value of x is 78°

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