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Triangle Angle Sum Theorem

The document provides a series of problems and solutions related to the Triangle Sum Theorem, demonstrating how to find unknown angles in various types of triangles. It includes equations and calculations for both equilateral and isosceles triangles, as well as practice problems to reinforce understanding. Additionally, it lists correct answers for the problems to aid in self-assessment.

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yepeka3828
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29 views6 pages

Triangle Angle Sum Theorem

The document provides a series of problems and solutions related to the Triangle Sum Theorem, demonstrating how to find unknown angles in various types of triangles. It includes equations and calculations for both equilateral and isosceles triangles, as well as practice problems to reinforce understanding. Additionally, it lists correct answers for the problems to aid in self-assessment.

Uploaded by

yepeka3828
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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2x -12=60°

x + x + x =180°
eq uilateral triangle
Triangle Sum Theorem
3x=180°
2x -12=60°
3 3
+ 12 + 12°
x =60°
2x =7 2°
2 2
x =36°

x + x + 30°=18 0° Triangle 2x -27 °=x + 53°


Sum Theorem iscosceles triangle
2x + 30°=18 0° 2x -27 °=x + 53°
-30° -30° -x -x
2x =150° x -27 °=53°
2 2 + 27 °+ 27 °
x = 75° x = 80°
Let’s do a bunch of problems to turn you into a Triangle Angle Sum Theorem expert!
Triangle Sum Theorem
24°+ 8 8° + x = 180°
112° + x = 180°
-112° -112°
x =68°
9.

11.

14.

15. 16.

Bubble all the correct answers from above. Don't bubble incorrect answers.
○30° ○75° ○20° ○118° ○ 78° ○148° ○74˚ ○150˚ ○60° ○64° ○65° ○63° ○21° ○59°

© 2010 www.letspracticegeometry.com
18 °

x
9 4°

Triangle Sum Theorem


18°+ 9 4° + x =180°
112° + x =180°
-112° -112° x = 68° m<A = 68°
Triangle Sum Theorem x +
x + 2x + (x -16°)= 180°
x + 2x + x -16°= 180°
4x -16°= 180°
+ 16° + 16°
4x = 196°
4 4
x = 49 °
Mark the diagram with the given information. 32. m<S=2x, m<A=x-23. M<D=x-17°.
Then, find the measure of the indicated angle. Find m<S.
A
31. m<A=X, m<B=2X. m<C=2X+30°. Find m<B.
B

s
c

33. m<Y=x+5˚, m<Z=x-7°. Find m<Z.

34. Find m<R, m<Q, and m<S.

35. m<W = x−22°, m<X = 3x+19°, m<Y = x−17°. Find m<X.

Bubble all the correct answers from above. Don't bubble incorrect answers.
○50˚ ○31° ○92° ○39°
© 2010 www.letspracticegeometry.com

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