Given m∠8 = 123° and m∠11 = 79°, find the measure of each missing angle. m∠14 =

m∠9 = 79

m∠4 =

m∠2 =

Picture of question is in the attachment below :

m∠1= 157°

m∠2= 23°

m∠3= 157°

m∠4= 23°

m∠5= 157°

m∠6= 23°

m∠7= 157°

Step-by-step explanation:

Given that:

m∠8 = 23°

m∠6= 23 ; m∠8 = m∠6 (vertically opposite angles)

m∠5 = m∠7 ( vertically opposite angles)

m∠5 + m∠6 + m∠7 + m∠8 = 360° (sum of angles at a point)

x + 23 + x + 23 = 360

46 + 2x = 360

2x = 360 - 46

2x = 314

x = 314 / 2

x = 157

Hence,

m∠5 = m∠7 = 157°

m∠1 = m∠5 = 157° corresponding angles

m∠4 = m∠8 = 23° corresponding angles

m∠3 = m∠7 = 157° corresponding angles

m∠6 = m∠2 = 23° corresponding angles

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.