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lianna [129]
2 years ago
12

Enter the values of x, y, and z. The diagram is not to scale.

Mathematics
1 answer:
nydimaria [60]2 years ago
8 0

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

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