Question

Could you please help me

Answer 1

x = 73

y = 38

Explanation:

In an isosceles trapezoid, the angle and side relationships are

Therefore, we see that the angle y = 38 and to find x we need to do some arithematic.

`x+31+A=180`

where A is the middle angle that forms a triangle with x and 31.

Now,

`\begin{gathered} 38+y+G=180 \\ 38+38+G=180 \\ G=104 \end{gathered}`

And

`A+G=180\text{ (supplementary angles)}`
`A+104=180`
`A=76`

therefore,

`\begin{gathered} x+31+A=180 \\ x+31+76=180 \\ x=73 \end{gathered}`

Hence, to conclude,

x = 73 and y = 38.