Question

Use the figure.

Identify the linear pair(s) that include ∠7.

1: ∠7 and ∠6

2: ∠7 and ∠8

3: ∠7 and ∠9

4: ∠7 and ∠5

Answer 1

we know that

any pairs will be linear when the value of sum of angles is 180

we will check options

option-1:

we can see that

∠7 and ∠6 are in a straight line

so,

∠7 + ∠6=180

so, this is TRUE

option-2:

we can see that

∠7 and ∠8 are in a straight line

so,

∠7 + ∠8=180

so, this is TRUE

option-3:

we can see that

∠7 and ∠9 are vertically opposite angles

so,

∠7= ∠9

so, this is FALSE

option-4:

we can see that

∠7 and ∠5 are corresponding angles

and lines are parallel

so,

∠7= ∠5

so, this is FALSE