Angles and Triangles

4 inches, 8 inches, 13 inches

13 inches, 11 inches, 23 inches

5 inches, 18 inches, 12 inches

25 inches, 8 inches, 16 inches

15 degrees

25 degrees

95 degrees

105 degrees

The measure of <2 is 35 degrees because angles 1 and 2 are complimentary.

The measure of angle 2 is 125 because angles 1 and 2 are supplementary

The measure of angle 4 is 55 degrees because angles 2 and 4 are vertical angles.

The measure of < 4 is 35 degrees because angles 2 and 4 are vertical angles. 

3 inches, 4 inches, 5 inches

4 inches, 4 inches, 4 inches

5 inches, 5 inches, 10 inches

No, all three angles of a triangle must be less than 90 degrees.

No, If one angle is 90 degrees, the other two angles must at to be 90 degrees and one of the angles cannot be 0 degrees.

Yes, one of the remaining angles could measure 0 degrees.

Yes, a triangle can have more than one right angle because the sum of the interior angles of a triangle measures 360 degrees.

35 degrees

45 degrees

95 degrees

105 degrees

29

34

46

59

25, 30, 120

30, 60, 90

35, 55,100

40, 60, 75

76

66

56

46

Yes because the angles add up tp 360 degrees

Yes because none of the angles is above 180.

No because a triangle cannot contain 2 obtuse angles.

It cannot be determined without more information about the lengths of the triangles sides.

180

100

90

45

It must have side lengths of 6 inches each

It must have side lengths of 3 inches each

It could be any isosceles triangle

It could be any equilateral triangle

12:00

3:00

6:00

9:00

64

26

54

116

90

57

32

20

23cm, 17cm, 14 cm

11cm, 11cm, 12cm

5cm, 7cm, 8cm

21cm, 6cm, 10cm

adjacent

complementary

supplementary

vertical

$<P\cong<R$

$<P\cong<Q$

$<R\cong<Q$

No conclusion can be made about the angles