Question

angles a and b are complementary. what is the value of x? (x + 22)° a b x° 34 56 68 79

Explanation:

Step1: Recall complementary - angle definition

Complementary angles sum to 90°. So, $(x + 22)+x=90$.

Step2: Combine like - terms

$x+22 + x=90$ simplifies to $2x+22 = 90$.

Step3: Isolate the variable term

Subtract 22 from both sides: $2x=90 - 22$, so $2x=68$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{68}{2}=34$.

Answer:

A. 34