Question

Please help me find this angle

Answer 1

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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°

Answer 2

x = 78

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