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Nuetrik [128]
3 years ago
11

Find x if m ∠ GHI = 173°, m ∠ GHQ = 29 + x, and m ∠ QHI = x + 162.

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

<h3>-9</h3>

Step-by-step explanation:

Given the following angles;

m ∠ GHI = 173°

m ∠ GHQ = 29 + x

m ∠ QHI = x + 162

The following expression is true for the three angles;

m ∠ GHI = m ∠ GHQ+ m ∠ QHI

substitute the given values into the formula and calculate x

173 = 29+x+x+162

173 = 29+162+2x

173 = 191+2x

2x = 173 - 191

2x = -18

x = -18/2

x = -9

Hence the value of x is -9

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