Solve for x and find the value of the unknown angle measures.

x = 20

m = 92

n = 68

p = 92

Step-by-step explanation:

x = 20

2 + 3x = 62

-2           -2

   3x = 60

    3       2

    x = 20

m = 92

20 + 68 = 88

180 - 88 = 92

n = 68

The vertical angle is 68 degrees

p = 92

Vertical angle is m, which is 92.

Hope this helped.

< 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)