48degree angle and unknown angle related as complementary angles.
"Two angles are said to be Complementary angles if and only if their total sum is equals to 90°."
According to the question,
Measure of angle Kite makes with ground = 48degrees
x represents angle between kite and dashed line as shown in diagram.
From the diagram and as per given conditions we observe
Kite makes complementary angle with unknown related angle
Therefore,
∠x + 48° = 90°
Hence, Option (A) is the correct answer.
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