Question

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

Answer 1

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