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Name Date Per AngleSumofTrianglesandQuadrilaterals Findthevalueofthemissingvariable. 1.× 31 115 b 3.× 105 78 90 c 5.× y 45 2.× 103 77 97 × 4.× 59 y 35 6.× g 82 135 75 Findthevalueofthemiss
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How to fill out angle sum of triangles?

01
Start by identifying the angles in the triangle. The triangle will have three angles labeled as angle A, angle B, and angle C.
02
Write down the measures of the known angles. For example, if angle A is given as 60 degrees and angle B is given as 45 degrees, write down A = 60° and B = 45°.
03
Use the angle sum property of triangles, which states that the sum of the angles in a triangle is always 180 degrees. Write down the equation: A + B + C = 180°.
04
Substitute the values of the known angles into the equation. For example, if A = 60° and B = 45°, the equation becomes 60° + 45° + C = 180°.
05
Solve for angle C by rearranging the equation. In this case, subtract 60° and 45° from both sides of the equation: C = 180° - 60° - 45° = 75°.
06
Therefore, angle C is 75 degrees. Write down C = 75° to complete the triangle's angle measures.

Who needs angle sum of triangles?

01
Students studying geometry: Understanding the angle sum property of triangles is fundamental in geometry. It helps students solve various problems involving triangles.
02
Architects and engineers: These professionals work with triangles extensively in designing structures. Knowing the angle sum helps them ensure the stability and balance of their designs.
03
Surveyors and cartographers: When measuring and mapping landforms, angles and triangles play a crucial role. Understanding the angle sum is essential for accurate measurements and map designs.
04
Artists and designers: In art and design, triangles are often used to create balance and harmony in compositions. Knowing the angle sum helps artists create visually appealing and aesthetically pleasing arrangements.
05
Puzzle enthusiasts: Angle sum properties are often used in puzzle-solving, particularly in logic puzzles. Understanding triangles' angle sum can help in unraveling and solving various types of puzzles.
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The angle sum of triangles is always 180 degrees.
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