Question

I do not know how to find the degree of?

Help me please​

Answer 1

Answer: 77°

Explanation:

`\angle X = 85\ and\ \angle X=(1)/(2)\stackrel\frown{YFW}\\\\\rightarrow\ 85 =(1)/(2)\stackrel\frown{YFW}\\\\\rightarrow\ 170 =\ \stackrel\frown{YFW}\\\\\\\\\stackrel\frown{XY} + \stackrel\frown{YW}+\stackrel\frown{WX}\ =360\\\\100\ +\ 170\ +\stackrel\frown{WX}\ =360\\\\270\ +\stackrel\frown{WX}\ =360\\\\\stackrel\frown{WX}\ =90\\\\\\\\\stackrel\frown{FW}+\stackrel\frown{WX}=\stackrel\frown{FWX}\\ \\64+90=\stackrel\frown{FWX}\\\\154=\stackrel\frown{FWX}`

`\angle Y=(1)/(2)\stackrel\frown{YWX}\\\\.\quad =(1)/(2)(154)\\\\.\quad =77`