1 and 22 are a linear pair, 2 and 3 are a linear pair, and 2 and 4 are vertical angles Which of the following statements is not true? a. 1=3

b. 2 = 3

C. m 1 + m 4 = 180

d. m 2 + m 3 = 180​

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

Step-by-step explanation:

If <1 and <2 are linear pair, hence <1 + <2 = 180

If <2 and <3 are linear pair, hence <2 + <3 = 180

Since <1, <2 and <3 are linear pair, hence <1 and <3 vertically opposite

<1 and <4 will also be a linear pair since they will lie on the same straight line. Since the sum of angle on a straight line is 180, hence <1 + <4  = 180degrees

The correct options are

<1 = <3

m<1 + m<4 = 180

m 2 + m 3 = 180​

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)