Question

∠1 and ∠2 are complementary. If m∠1 = (x + 3)° and m∠2 = (4x - 8)°. Find the value of x.A. 21B. 19C. 37D. 6

Answer 1

When two angles are complementary, it means that they add up to 90°.

This way,

$m\angle1+m\angle2=90$

Thereby,

$(x+3)+(4x-8)=90$

Solving for x,

$\begin{gathered} (x+3)+(4x-8)=90 \\ \rightarrow x+3+4x-8=90 \\ \rightarrow5x-5=90 \\ \rightarrow5x=95\rightarrow x=\frac{95}{5} \\ \\ \Rightarrow x=19 \end{gathered}$

Answer: Option B