Answer:
-9
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
