Question

Someone please solve. I keep getting 66 but it's wrong.​

Answer 1

56 degrees.

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.

Answer 2

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