Question

11 POINTS FOR TWO MATH PROBLEMS PLEASE DO IT

Answer 1

Explanation:

5

2 and 4 both=34

Vertical angles are congruent

9

AEC=139

11x-12 +2(4x+1)=180

19x=190

x=10

110-12=98 AEB=98

40+1 =41 BEC=41

98+41=139

Answer 2

see explanation

Explanation:

(5)

∠4 = ∠2 = 34° ( vertical angles are congruent )

(9)

Since EC is an angle bisector then ∠BEC = ∠CED = 4x + 1

∠AED is a straight angle and

∠AED = ∠AEB + ∠BEC + ∠ CED = 180, that is

11x - 12 + 4x + 1 + 4x + 1 = 180

19x - 10 = 180 ( add 10 to both sides )

19x = 190 ( divide both sides by 19 )

x = 10

Hence

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11 = (15 × 10) - 11 = 150 - 11 = 139°