Angle 6 = (11x+8) and angle 7 = (12x-4) what is the measure of angle 4

Answer is m∠4=40

Step-by-step explanation:

take note that m∠6 & m∠7 are vertical angles. Vertical angles are equal to each other, therefore m∠6 is equal to m∠7.

m∠6 = m∠7 (vertical angles)

11x + 8 = 12x - 4

12x - 11x = 8 + 4

x = 12

so

m∠6 = 11x + 8

m∠6 = 11 (12) + 8

m∠6 = 132 + 8

m∠6 = 140

m∠4 = 180 - m<6

m∠4 = 180 - 140

m∠4 = 40