Question

Match the angle on the left with its appropriate measure onthe right.

Answer 1

From the given image we have,

`\begin{gathered} \angle BCX=40^(\circ) \\ \angle ABC=40^(\circ) \end{gathered}`

Therefore, angle GCF is which is opposite to angle BCX

`\angle GCF=40^(\circ)`

Now,

`\angle ABC+\angle EBL+\angle CBX=180^(\circ)`
`\begin{gathered} 40\text{ + 90 + }\angle CBX=180^(\circ) \\ \angle CBX=180-130 \\ \angle CBX=50^(\circ) \end{gathered}`
`Now,\angle BXC=\angle LBX`
`\angle BXC=90^(\circ)`