Question

PLS HELP FAST!!!!
2. In the figure, 4 is an exterior angle to .

(a) Explain why 4 is equal to the sum of the measures of the two nonadjacent interior angles. ***What is the name of the property?***
(b) What is 4 ?
Answer:
 

Answer 1

there's a pic

Answer 2

a) Exterior angle sum property.
b) m4 = mALU+mAUL = 57+20=77

Answer 3

could you give a little more detail on a though
pls

Answer 4

on which part?

Answer 5

(a)

Answer 6

you want to prove it?

Answer 7

huh

Answer 8

nm

Answer 9

thx

Answer 10

Okay, so here's the proof.
In triangle AUL,
Sum of all the angles is equal to 180 degrees.
\[\angle ALU+\angle AUL+\angle UAL=180\]
\[57+20+\angle UAL=180\]
\[77+\angle UAL=180\]
\[\angle UAL=180-77=103\]

And \(\angle UAL\) and \(\angle UAP\) forms a linear pair.
Therefore,\[\angle UAL+\angle UAP=180\]
\[103+\angle UAP=180\]
\[\angle UAP=77\]

So, we can observe that \[\angle 4=\angle1+\angle 2=57+20=77\]

Hence, Proved and this property is called as EXTERIOR ANGLE PROPERTY