Find the measurement of angle E

Measurement of angle E is 55°.

Step-by-step explanation:

By applying triangle sum theorem in ΔACE,

m∠A + m∠E + m∠C = 180°

(6x - 15)° + (4x)° + m∠E = 180°

m∠E = 180° - (10x - 15)

        = (195 -10x)°

Similarly, in ΔBDE,

(5x - 1)° + (4x)° + m∠E = 180°

(9x - 1)° + m∠E = 180°

m∠E = 180 - (9x - 1)

         = (181 - 9x)°

By equating both the measures of angle E,

(195 - 10x) = (181 - 9x)

195 - 181 = 10x - 9x

x = 14

m∠E = (195 - 10x) = 195 - 10(14)

                            = 195 - 140

                             = 55°

Therefore, measurement of angle E is 55°.

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x