∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 55^\circ55 ∘ 55, degrees. What is the measure of \angle b∠bangle, b? \Large{^\circ} ∘

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Answer:

35

Step-by-step explanation:

Cause they both add up to a right angle which is 90 degrees. so 90-55=35

angle, a and ∠angle, b are complementary angles. ∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees. so we can conclude that ∠b = 35.

What is the angle sum property?

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

angle, a and ∠angle, b are complementary angles.

∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees.

we want to measure ∠ b

We know that the sum of Complementary angles is equal to 90 degrees.

so to find the measure of angle B we subtract the given angle from 90

∠ b + ∠ a = 90

∠ b + 55 = 90

∠ b = 90-55

∠ b =35

so we can conclude that ∠b = 35.

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