Question

In this figure a || b Find the measure of each angle using either of the given angle measures. Identify the reason for each answer
∠1
∠2
∠3
∠4
∠5
∠6

Answer 1

Answer:

$m$

$m$

$m$

$m$

$m$

$m$

Step-by-step explanation:

Part 1) Find the measure of angle 1

we know that

$m$ -----> by supplementary angles

$m$

Part 2) Find the measure of angle 2

we know that

$m$ -----> by alternate exterior angles

Part 3) Find the measure of angle 3

we know that

$m$ -----> by vertical angles

Part 4) Find the measure of angle 4

we know that

$m$ ------> by corresponding angles

Part 5) Find the measure of angle 5

we know that

$m$ -----> by vertical angles

so

$m$

Part 6) Find the measure of angle 6

we know that

$m$ -----> by supplementary angles

we have

$m$

substitute

$86\°+m$

$m$