Equations

Triangle sum theorem

100

109°+23°+x=180°

x=48°

200

3x+x+4+2x-1=180

x=30.5

300

x+70+78°+41°=180° 

x=-7

400

9x+4+16x-4+80°=180°

x=40°

500

12x+8+55+8x-3=180

x=6

Algebraic equations

100

3x+2=17

n=5

200

6+x=12

x=6

300

1+2b=4b+9

b=-4

400

2(3-h)-6=-5h

h=0

500

22-44vw+11v

11(2-4vw+v)

Pythagorean theorem

100

12^2+5^2=C^2

C=13

200

3^2+4^2=C^2

C=15

300

6^2+3^2=45

C=6.71

400

12.8²⁺16²⁼419.84

C=20.48

500

7²⁺b²=10.63²

b=7.99

Exterior Angle Theorem

100

x+42=80

x=38

200

23+38=x

x=61

300

62+4x+10=12x-8

x=10

400

11x+3=85°+5x-10

x=12

500

x+69=x+29+a

a=25

Bisector Equations

100

3x-2=5x+4

x=-3

200

13-4x=-8+3

x=3

300

6x+19=1x-6

x=5

400

7x+9=13x+4

x=0.83

500

x-2+2+5x+7=13x-8+x-2

x=1.875