Question

Answer the question in the image below.

Answer 1

Angle XYZ will be the sum of angles XYW and WYZ

XYW is complementary to 75 degrees, so

XYW = 15 degrees

WYZ = 67 degrees because it's an isosceles triangle

WYZ = 180 - 67 - 67 = 46

XYZ = XYW + WYZ = 15 + 46 = 61 degrees

Answer: 61 degrees, last choice

Answer 2

The answer is 61

Explanation:

you have to treat it like two different triangle. So you find what the missing angle is from the right angle triangle (180-90+75=15) and find the missing angle from the isosceles triangle (180-67+67=46) and add them both together to find angleXYZ so (46+15=61)