Question

In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct?Check all that apply. m∠1 = 60°

m∠13 = 80° m∠6 = 80° m∠5 = 60° m∠10 = 120° m∠ 14 = 100°

Answer 1

A, B, D, F

Explanation:

Well to summarize what the previous person mentioned:

1 = 60

13 = 80

6 = 120

5 = 60

10 = 100

14 = 100

So given that information the correct answers are:

A, B, D, F

Answer 2

we are given

m∠3 = 120° and m∠12 = 80°

we will check all

Calculation of m∠1:

we can see that angles 1 and 3 are linear

so, their sum must be 180

m∠1+m∠3 = 180°

now, we can plug values

m∠1+ 120°= 180°

m∠1=60°

Calculation of m∠13:

we know that

angles 12 and 13 are alternate angles

so, they must be equal

m∠13=m∠12 = 80°

m∠13= 80°

Calculation of m∠6:

we know that

angles 3 and 6 are alternate angles

so, they must be equal

m∠3=m∠6 = 120°

m∠6= 120°

Calculation of m∠5:

we know that

angles 1 and 5 are corresponding angles

so, they must be equal

m∠1=m∠5 = 60°

m∠5= 60°

Calculation of m∠10:

we can see that angles 10 and 12 are linear

so, their sum must be 180

m∠10+m∠12 = 180°

now, we can plug values

m∠10+ 80°= 180°

m∠10=100°

Calculation of m∠14:

we know that

angles 10 and 14 are corresponding angles

so, they must be equal

m∠10=m∠14 = 100°

m∠14= 100°