Part III: Name a pair of vertical angles, a straight angle, and two acute angles other than GEN. (Pls hurry on this this is a test)

Straight Angle: ∠FEN

Vertical Angles: ∠CDA and ∠EDK

Acute Angles: ∠FED and ∠PKH

Step-by-step explanation:

You can look at the angles and determine whether they are acute, obtuse, or a straight line. Not much explanation can be given for identification of angles unless you have a protractor and it deems that you have to prove it.

1 and 0

step-by-step explanation:

< 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)