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In a diagram, m A = (4x-10)° and m D = (2x+22)°. What is the measure of D?

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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°
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