Question

Please help ASAP! 40 PTS

Answer 1

Answer:

see below

Step-by-step explanation:

1.  < 4 is the exterior angle of a triangle   given

2.  <1 + <2 + <3 =180   basic property of triangles

3.  <3 + <4 are a linear pair    <3 and <4 are adjacent and form a straight line

4. <3 and <4 are supplementary angles  supplementary angles are linear pairs

5.  <3 + <4 = 180   The definition of supplementary angles are that they add to 180 degrees

6.  <1 + <2 + <3 = <3+ <4  Substitute <3 + <4  for 180 in equation from step 2

7 <1 + <2 = <4   Subtract <3 from each side using the subtraction property of equality

Answer 2

Answer:

a) total angle in a triangle

b) they form a straight line

c) Supplementary angles

d) both are 180

e) subtract angle 3 from both sides of the equation in 6.