The answer is fully given in the picture below. Hope it helps!
Answer:
3rd triangle can be constructed with dimensions 2,6,7.
Step-by-step explanation:
sum of any two sides > third side.
difference of any two sides < third side
1.
8+5=13 not >14 (no triangle.)
2.
7+8=15 not >15 (no triangle)
3.
2+6=8>7
2+7=9>6
7+6=13>2
7-2=5<6
7-6=1<2
6-2=4<7
so it is a triangle.
4.
6+3=9 not >10 (not a triangle)
I’m pretty sure there not but I might be wrong
All of the angles combined =360 degrees
Vertical angles are congruent, so if angle 1 = 60, so does angle 3
Logically we have to find the measure of angle 4 and angle 2 combined and divide by 2
60 + 60 = 120
360 - 120 = 240
240 / 2 = 120
angle 4 = 120
angle 2= 120
angle 3 = 60
