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Find the values of x and y in the diagram.

 

 Feb 27, 2021
 #1
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UTR is an equilateral triangle and RTS is isosceles.

 

UT = TR = RS 

x - 7 = 11

 

x = 18

 

The angles in triangle RTS add up to 180 degrees.

 

5y + 5y + 120 = 180

10y = 60

 

y = 6

 Feb 27, 2021
 #2
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Triangle UTR is an equilateral triangle so all of its angles are equal to 60 and all of its sides are equal. TR =11 because triangle TRS is an isosceles triangle.

 

Therefore, x - 7 = 11

x = 18

 

180 - 60 = 120 so angle TRS = 120

180 - 120 = 60

60/2 = 30

 

Therefore, 5y = 30

y = 6

 

 

wink

 Feb 27, 2021

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