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Since m A and m D are complementary angles, we know that their sum is equal to 90°. So we have the equation:
(4x-10)° + (2x+22)° = 90°
Combining like terms on the left side, we get:
6x + 12° = 90°
Subtracting 12° from both sides, we get:
6x = 78°
Dividing both sides by 6, we get:
x = 13°
Therefore, the measure of D is:
2x + 22° = 2(13°) + 22° = 26° + 22° = 48°