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Answer:
∠ 4 = 52°
Explanation:
The 3 angles lie on a straight line and sum to 180°, that is
90 + ∠ 3 + ∠ 4 = 180, substitute ∠ 3
90° + 38° + ∠ 4 = 180°
128° + ∠ 4 = 180° ( subtract 128° from both sides )
the measure of angle 4 is 52 degrees.
The measure of angles 3 and 4 added together is 90 degrees. Angle 3 is 38 degrees. 90-38=54.