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Triangle Sum, Remote Exterior, Isosceles & Equilateral Practice

Total questions: 11

Worksheet time: 31mins

Name
Class
Date
1.

Solve for x.

a)

35°35\degree  

b)

80°80\degree  

c)

115°115\degree  

d)

45°45\degree  

2.

Solve for x.

a)

100°100\degree  

b)

80°80\degree  

c)

50°50\degree  

d)

180°180\degree  

3.

Solve for x.

a)

80°80\degree  

b)

100°100\degree  

c)

20°20\degree  

d)

60°60\degree  

4.

Choose the coordinate for point G so that GHOST is a concave polygon.

a)

  (0, 10)                              

b)

(2, 9)

c)

  (-2, 7)                           

d)

    (1, 4)

5.

Choose the coordinate for point D so that SOLID is a convex polygon.

a)

     (-6, 1)                             

b)

 (-6, -4)

c)

     (-1, 0)                               

d)

(6, 6)

6.

What is the measure of angle G?

(a)  

7.

What is the measure of angle A? (a)  

8.

m5 = x2 + 2x, m2 = x  5, m9 = 10x+ 13. m\angle5\ =\ x^{2\ }+\ 2x,\ m\angle2\ =\ x\ -\ 5,\ m\angle9\ =\ 10x+\ 13.\  Solve for x and find the measure of 7\angle7  . Then classify the triangle by angles.

a)

m7 = 103°m\angle7\ =\ 103\degree  

Obtuse Triangle

b)

m7 = 103°m\angle7\ =\ 103\degree  

Acute Triangle

c)

m7 = 77°m\angle7\ =\ 77\degree  

Obtuse Triangle

d)

m7 = 77°m\angle7\ =\ 77\degree  

Acute Triangle

9.

m7 = x2 5x, m2 = 2x + 5, m4 = 6x3. m\angle7\ =\ x^{2\ }-5x,\ m\angle2\ =\ 2x\ +\ 5,\ m\angle4\ =\ 6x-3.\  Solve for x and find the measure of 5\angle5  . Then classify the triangle by angles.

a)

m5 = 45°m\angle5\ =\ 45\degree  

Obtuse Triangle

b)

m5 = 45°m\angle5\ =\ 45\degree  

Acute Triangle

c)

m5 = 135°m\angle5\ =\ 135\degree  

Obtuse Triangle

d)

m5 = 135°m\angle5\ =\ 135\degree  

Acute Triangle

10.

AM\angle A\cong\angle M

JA = 6x - 16, JM = 4x - 4, Am = 2x + 3.

 Find the perimeter of the Triangle.

(Hint: Solve for x and all 3 side lengths)

(a)  

11.

HO\angle H\cong\angle O

HO = 4x + 5, HT = 5x + 2, OT = 9x - 46.

 Find the perimeter of the Triangle.

(Hint: Solve for x and all 3 side lengths)

(a)