Question

Please help! ! ( please answer all)

Answer 1

17) AB = 26

18) ∠1 and ∠2 are supplementary angles.

19) ∠1 and ∠2 are vertical angles.

20) x = 7

21) 10.125° = ∠GEF

22) x = 14

23) x = 25

How to find congruent angles?

17) AC is congruent to CE.

DE = 7x - 1

BC = 9x - 2

CE = 10x + 18

DE + DE = CE

2DE = CE

2(7x - 1) = 10x+18

14x-2 = 10x+18

14x-10x = 18+2

4x = 20

x = 20/4

x = 5

Thus; AC = CE = 10x + 18

CD = 10x + 18 - 7x + 1

CD = 3x + 19

AB = 10x + 18 - (9x - 2)

AB = 10x + 18 - 9x + 2

AB = x + 18 + 2

AB = x + 20

Since x = 5

AB = 5 + 21

AB = 26

18) ∠1 and ∠2 are supplementary angles.

19) ∠1 and ∠2 are  vertical angles.

20) ∠TUV = ∠TUW + ∠WUV

7x - 9 + 5x - 11 = 9x + 1

12x - 20 = 9x + 1

3x = 21

x = 21/3

x = 7

21) Let ∠DEG = x. Thus;

∠GEF = 5x - 13

Thus;

x + 5x - 13 = 149

6x = 162

x = 162/6

x = 10.125° = ∠GEF

22) 7x - 1 + 6x - 1 = 180

13x = 182

x = 14

23) 5x + 4 = 8x - 71

3x = 75

x = 25

Read more about Congruent Angles at; brainly.com/question/1675117

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