Answer:
x = 25 , y = 19
Step-by-step explanation:
130° and 2x° are adjacent angles on a straight line and sum to 180° , so
130 + 2x = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
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The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
130° is an exterior angle of the triangle , then
54 + 4y = 130 ( subtract 54 from both sides )
4y = 76 ( divide both sides by 4 )
y = 19
