Question

1. Solve for x, y and z in the triangle below.

Y 47° 58°
X 81°
Z

2. What are the measures of <1 and <2?

68°
2
128°

Can someone please help ?

Answer 1

58 + 81 + z = 180

131 + z = 180

z = 180 - 131

z = 41

x + 81 = 180

x = 180 - 81

x = 99

99 + 47 + y = 180

146 + y = 180

y = 34

1 + 128 = 180 (being linear pair)

1 = 180 - 128

1 = 52

52 + 68 + 2 = 180 (sum of angles of triangle)

2 = 180 - 120

2 = 60