Please answer 5-8 ASAP I will give brainliest

5. m∠A = 26

6. m∠D = 118

7. m∠E = 43

8. m∠H = 85

Step-by-step explanation: complementary= 90 supplementary = 180

5. (2x - 8) + (4x +4) = 90

6x - 12 = 90

6x = 102

x = 17

m∠A = 2x - 8  

m∠A = 2(17) - 8 = 26

6. (2x + 18) + (5x + 8) = 180

7x + 26 = 180

7x = 154

x = 22

m∠D = 5x + 8

m∠D = 5(22) + 8 = 118

7. (2x + 15) + (3x + 5) = 90

5x + 20 = 90

5x = 70

x = 14

m∠E = 2x + 15

m∠E = 2(14) + 15 = 43

8. (5x - 20) + (4x + 7 ) = 180

9x - 27 = 180

9x = 207

x = 23

m∠H = 4x -7

m∠H = 4(23) - 7 = 85

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

no

explanation:

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