Question

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees

Answer 1

Answer:

$\angle 2 =60$

$\angle 3 = 60$

$\angle 4 = 120$

$\angle 5 = 120$

$\angle 6 = 60$

$\angle 7 = 60$

$\angle 8 = 120$

Step-by-step explanation:

Given

$\angle 1 = 120^\circ$

See attachment

Required

Determine the other angles

$\angle 1$ and $\angle 2$ are on a straight line.

So;

$\angle 1 + \angle 2 =180$

Make $\angle 2$ the subject

$\angle 2 =180 - \angle 1$

$\angle 2 =180 - 120$

$\angle 2 =60$

$\angle 1$ , $\angle 4$,  $\angle 5$ and $\angle 8$ are corresponding angles.

So;

$\angle 4 =\angle 1 = 120$

$\angle 5 =\angle 1 = 120$

$\angle 8 =\angle 1 = 120$

Similarly; $\angle 2$ , $\angle 3$,  $\angle 6$ and $\angle 7$ are corresponding angles.

So;

$\angle 3 =\angle 2 = 60$

$\angle 6 =\angle 2 = 60$

$\angle 7 =\angle 2 = 60$