Question

If a || b || c and m9 = 76°, find the measure of each missing angle.​

Answer 1

Angles 1,3,5,7,9,11 are equal to 76⁰.

Angles 2,4,6,8,19,12 are equal to 180⁰-76⁰=104⁰

Answer 2

The measure of the missing angles can be found using parallel lines and horizontal angle principles.

which includes checking for opposite, adjacent, corresponding angles.

a. M<1 = 76° (corresponding angle M<5 and M<9)

b. M<2 = 104° (angle on a straight line 180° - M<1 )

c. M<3 = 76° (opposite angle with M<1)

d. M<4 = 104° (opposite angles with M<2)

e. M<5 = 76° (alternate angle with M<3)

f. M<6 = 104° (angle on a straight line 180° - M<5 )

g. M<7 = 76° (opposite angle with M<5)

h. M<8 = 104° (opposite angles with M<6)

i. M<10 = 104° (angle on a straight line 180° - M<9 )

j. M<11 = 76° (opposite angle with M<9)

k.M<12 = 104° (opposite angles with M<10)