Question

2. Find x and y in each the following??​

Answer 1

Step-by-step explanation:

1) y = 180 - 100 = 80

x = 180 - 60 + 80

x = 40

2) 3x + 2x + x = 180

6x = 180

x = 30

3x = 90

2x = 60

x = 30

y = 180 - 30 = 150

3) y = 180 - 120 = 60

x = 180 - 80 + 60

= 40

Answer 2

Answer:

(1). <y +<abp= 180( linear pair)

<y=180-100

<y=80

then, in ∆ ABC

<A+<B+<C = 180 ( angle sum property of triangle)

<x+60+80=180

<x+140=180

<x=40.

(2). in ∆ABC

<x+<2x+<3x=180(angle sum property of triangle )

6x=180

x=180/6

x=30°

and then

angles measure are

x=30,2x=30 × 2= 60, 3x=30×3=90

hence,

<y+<x=180(linear pair)

<y+30= 180

<y=180-30

<y=150°

(3).<y+120=180(linear pair)

<y=180-120

<y=60°

then, we can take 2nd angle of ∆ be <b

so,

100+<b=180

<b=180-100

<b =80°

now,in ∆

< x +<y+<b = 180(angle sum property of triangle )

<x+60+80=180

<x=180-140

<x°=40°

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