Using the information from the given diagram, the measure of angle x (m ∠x) is 52°
Calculating the measures of angles
From the question, we are to determine the measure of angle x.
From the given diagram, we can write that
m ∠A + m ∠H + m ∠I = 180° (Sum of angle in a triangle)
Also,
m ∠K = m ∠I (Corresponding angles theorem)
∴ m ∠I = 62°
Thus,
x° + 66° + 62° = 180°
x° + 128° = 180°
x° = 180° - 128°
x° = 52°
Hence, the measure of ∠x 52°
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