Question

Angles A and B are complementary to each other. If m∠A = 26° + x and m∠B = 38° + x, what is the value of x?

Answer 1

We are given that angle A and B are complementarty

This implies

`\angle A+\angle B=90^(\circ)`

And we have that

`\begin{gathered} m\angle A=26^(\circ)+x \\ m\angle B=38^(\circ)+x \end{gathered}`

This implies

`26^(\circ)+x+38^(\circ)+x=90^(\circ)`

solving for x

`\begin{gathered} 2x+64=90 \\ 2x=90-64 \\ 2x=26 \\ x=(26)/(2) \\ x=13^(\circ) \end{gathered}`

Therefore,

The value of x is 13 degree