Question

If AFGH - AQRS, m_F = x + 26, m R = 3x, and m Q = 5x - 12, find the value of x.

Answer 1

Step-by-step explanation

Step 1

as the triangles are similar

`\begin{gathered} \measuredangle F=\measuredangle Q \\ x+26=5x-12 \\ \end{gathered}`

Step 2

solve for x

`\begin{gathered} x+26=5x-12 \\ \text{subtract x in both sides} \\ x+26-x=5x-12-x \\ 26=4x-12 \\ \text{add 12 in both sides} \\ 26+12=4x-12+12 \\ 38=4x \\ \text{divide both sides by 4} \\ (38)/(4)=(4x)/(4) \\ 9.5=x \end{gathered}`

so, the anwer