Please just help me fill in the blanks

Complementary Angles: equal 90 degrees

Supplementary Angles: equals 360 degrees

Step-by-step explanation:

Complementary Angles:

65+25=90

78+12=90

43+47=90

Supplementary Angles:

54+306=360

113+247=360

148+212=360

88+272=360

Hope this helps

C

36 - 54

65 - 25

78 - 12

43 - 47

S

126

67

32

92

Explanation:

Comp: 90 - _ = _

90 - 36 = 54

Supp: 180 - _ = _

180 - 54 = _

< 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)

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.