Question

1. Given the triangle below, answer the following questions

a. What is the value of x?


b. What is the value of y?


c. What is the value of z?

show your work.

Answer 1

1.
x=81
51+48+x=180
99+x=180
x=81°

2.
180°-81=99°

3.
180-51= 129°

Answer 2

x=81

y=99

z= 129

Explanation:

the 3 angles of a triangle add to 180 degrees

51 + 48 + x = 180

99 + x = 180

subtract 99 from each side

99 + x -99 = 180 -99

x = 81

x+y = 180 they make a straight line

81+ y = 180

subtract 81 from each side

y = 180-81

y = 99

z+ 51 = 180 they make a straight line

subtract 51 from each side

z+51-51 = 180 -51

z = 129