The value of r is 11°
From the information given, we have that;
Both angles are complementary angles.
It is important to note that complementary angles sum up to 90 degrees
Then, we have;
52 ° + 4r - 6° = 90°
collect like terms
4r + 46° = 90 °
4r = 90 - 46
4r = 44
Make 'r' the subject of formula
Divide both sides by 4
4r/4 = 44/4
r = 11°
Thus, the value of r is 11°
Learn more about complementary angles here:
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