Question

Hii please help i would really appreciate it

(multiple choice)

x= [select]
-140
-120
-160
-100

y= [select]
-50
-60
-80
-70

Answer 1

x = 120 , y = 50

Explanation:

1 and 140° are a linear pair and sum to 180° , that is

1 + 140 = 180 ( subtract 140 from both sides )

1 = 40

the sum of the 3 angles in Δ ABE = 180° , so

∠ BAE = 180° - ( 80 + 40)° = 180° - 120° = 60°

∠ BAE and ∠ CDE are same- side interior angles and sum to 180° , that is

x + 60 = 180 ( subtract 60 from both sides )

x = 120

the sum of the 3 angles in Δ CDE = 180° , that is

10 + x + 2 = 180

10 + 120 + 2 = 180

130 + 2 = 180 ( subtract 130 from both sides )

2 = 50

AED is a straight line , then

y + 80 + 2 = 180

y + 80 + 50 = 180

y + 130 = 180 ( subtract 130 from both sides )

y = 50