If angles $a$ and $b$ are complementary and $a=34$ degrees, what is the value of $b$ in degrees?

• A. $56$
• B. $34$
• C. $79$
• D. $68$

Answer: (A)

Verified step by step guidance

1. Recall that two angles are complementary if the sum of their measures is 90 degrees. This means we have the equation \(a + b = 90\).
2. You are given that angle \(a\) is 34 degrees, so substitute this value into the equation: \$34 + b = 90$.
3. To find \(b\), isolate it on one side of the equation by subtracting 34 from both sides: \(b = 90 - 34\).
4. Simplify the right side of the equation to express \(b\) in terms of a numerical value (do not calculate the final number here).
5. The result will give you the measure of angle \(b\) in degrees, which is the complement of angle \(a\).