Question

Please help ASAP! 40 PTS

Answer 1

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.

Answer 2

see below

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