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find the values of x and y.​

Find The Values Of X And Y class=

Sagot :

Answer:

x = 20, y = 70

Step-by-step explanation:

The angle adjacent to 40° is 180° - 40° = 140°

Since the triangle on the right has 2 congruent sides then it is isosceles and its base angles are congruent,  both x

2x + 140 = 180 ← sum of 3 angles in triangle

Subtract 140 from both sides

2x = 40 ( divide both sides by 2 )

x = 20

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The angle inside the triangle on the left is 90° - 20° = 70° , then

y = 180 - (40 + 70) = 180 - 110 = 70

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