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DeanR

The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees.  z as the third angle in the small triangle is 180 less than the sum of the other two,

z = 180 - 22 - 102

Answer: 56 degrees

Answer:

56 degrees.

Step-by-step explanation:

x = 180 - (68+78)

=  34 degrees  ( as there are 180 degrees in a triangle).

Consider the large right-angled triangle:

z = 180 - (90 + x)

= 180 - (90 + 34)

= 180 - 124

= 56 degrees.

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