Question

∠1 and ∠2 are complementary.
m∠1 = x°
m∠2 = (3x + 30)°
what is the value of x?
select from the drop - down menu to correctly answer the question.
x = choose...

Explanation:

Step1: Use the definition of complementary angles

Complementary angles sum to \(90^{\circ}\). So, \(m\angle1 + m\angle2=90^{\circ}\). Substituting the given expressions: \(x+(3x + 30)=90\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(x+3x+30=(1 + 3)x+30=4x+30\). The equation becomes \(4x+30 = 90\).

Step3: Solve for \(x\)

Subtract 30 from both sides: \(4x+30-30=90 - 30\), which gives \(4x=60\). Then divide both sides by 4: \(x=\frac{60}{4}=15\).

Answer:

\(15\)