Question

can someone please help me?!

Answer 1

Answer:

Step-by-step explanation:

Remark

If you find < 3 first, that will give you angle 5 by alternate interior angles. <5 and <7 are equal by vertically opposite angles.

Solution

<3 + <2 = 180o              these two angles are on the same straight line.

<3 + 83 = 180o              Subtract 83 from both sides

<3 = 180 - 83

<3 = 97

As per the remark <3 = <5 by alternate interior angles.

<5 = 97

<7 = 97                          Vertically opposite angles are equal

Note

There are 4 angles that are equal to 83 and 4 angles that are equal to 97

83: angles 2 4 6 and 8

97: angles 1 3 5 and 7

No other values for this diagram are possible and these are always the result.