👤

Answer :

Looking at the diagram, Each division is 90 degrees. We can see the 90 degrees symbol there. Therefore,

[tex]17x\text{ + 7 + 9x + 5 = 90}[/tex]

[tex]17x\text{ + 9x = 90 - 7 - 5}[/tex][tex]26x\text{ = 78}[/tex][tex]x\text{ = 78/26 = 3}[/tex]

Also, vertically opposite angles are equal.

Therefore,

[tex]y\text{ = 17x + 7}[/tex]

Substituting x = 3 into the above equation,

[tex]y\text{ = (17 }\times3)+7=58\text{ degrees}[/tex]

Go Teaching: Other Questions