Question

2. Find the values of x, y, and z. The diagram is not to scale.A. x = 85, y = 95, z = 74B. x = 74, y = 85, z = 95C. x = 74, y = 95, z = 85D. x = 85, y = 74, z = 95

Answer 1

D. x = 85, y = 74, z = 95

Step-by-step explanation

The sum of interior angles in the big trangle is 180degrees. Hence;

38 + 57 + x = 180

95 +x = 180

x = 180 - 95

x = 85degrees

The angle x and z are also supplementary since they bith lie on the same stright line. Hence;

85 +

Similarly, the sum of angle in the smaller triangle is 180degrees hence;

11 + z + y = 180

11 + 95 + y = 180

106 + y = 180

y = 180 - 106

y = 74degrees

Hence the value of x, y and z are 85, 74 and 95 degrees respectively