Question

O LINEFinding angle measures given two parallel lines cut by a...eTry AgainTwo parallel lines are cut by a transversal as shown below.Suppose mZ1 =78°. Find m26 and m28.12m 26 = 151643817m 2 8 =

Answer 1

From the given question,

There are given that the angle 1 is 78 degree

Now,

According to the properties of parallel line:

Angle 4 and angle 8 are the the correspondanglesngle

So,

The value of angle 4 is:

`\begin{gathered} \angle4+\angle1=180 \\ \angle4+78=180 \\ \angle4=180-78 \\ \angle4=102 \end{gathered}`

Then,

from the properties:

`\angle4=\angle8`

Then,

The value of angle 8 is:

`\angle8=102^(\circ)`

Now,

Angle 8 is equal to angle 6

So, angle 6 is 102 degree also.

Hence, the value of the angle is shown below:

`\begin{gathered} m\angle6=102^(\circ) \\ m\angle8=102^(\circ) \end{gathered}`