∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 22^\circ22 ∘ 22, degrees. What is the measure of \angle b∠bangle, b?

The measure of angle ∠ b is 68°.

Step-by-step explanation:

There are two angles ∠ a and ∠ b which are complementary.

Therefore, from the definition of complementary angles, we have

∠ a + ∠ b = 90°

Now, if the angle ∠ a is measured to be 22°, then

22° + ∠ b = 90°

⇒ ∠ b = 90° - 22°

⇒ ∠ b = 68°

Therefore, the measure of angle ∠ b is 68°. (Answer)

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