Answer:
x = 20, y = 70
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