Answer:
5. ○ [tex]\displaystyle 56°, 72°, 52°[/tex]
4. ○ [tex]\displaystyle isosceles[/tex]
3. ○ [tex]\displaystyle scalene[/tex]
2. ○ [tex]\displaystyle 25°, right[/tex]
1. ○ [tex]\displaystyle 35°, obtuse[/tex]
Step-by-step explanation:
5. As you can see, the top option is also a possibility, however, according to the Triangular Interior Angles Theorem, they also must sum up to 180°, which was why the third option was chosen. Be EXTREMELY CAREFUL here.
4. A triangle with two congruent sides is considered an isosceles triangle.
3. A triangle with zero congruent sides is considered a scalene triangle.
2. Use the Triangular Interior Angles Theorem:
180° = 65° + 90° + x°
180° = 155° + x°
- 155° - 155°
____________
[tex]\displaystyle 25° = x[/tex]
1. This is OBVIOUSLY an obtuse triangle, so we pick the second option.
I am joyous to assist you anytime.
