Please help me answer question 12

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Answer:

x = 81, y = 68, z = 99

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the triangle on the left, then

x = 180 - (36 + 63) = 180 - 99 = 81

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle on the right, thus

13 + y = x , that is

13 + y = 81 ( subtract 13 from both sides )

y = 68

Consider the triangle on the right

z = 180 - (13 + y) = 180 - (13 + 68) = 180 - 81 = 99

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