Answer: Y = 35, X = 27.8
Explanation:
First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.
Since triangles ABC and DEF are congruent,
Angle D = Angle A.
=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.
Also side EF = side BC.
=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.
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