Angle Addition Theorem

Segment and angle addition

By Hannah Pendleton

Part + Part = Whole

(blue angle) + red angle = together

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​Some text here about the topic of discussion.

Fill in the Blanks

​Part + Part = whole

​The parts are the pieces inside the angle: 62 and x

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The WHOLE is the angle total 126​

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adding the two piece to make the whole

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62 + x = 126​

Fill in the Blanks

Multiple Select

Which of the following in an equation to solve for x?

Pick all answer that apply.

• 2x + 94 = 72

• 2x+72 = 94

• 94 + 72 = 2x

• 72 + 2x = 94

part + part = whole

​

2x + 72 = 94​

Equation:

Fill in the Blanks

Multiple Choice

Write an equation to solve for angle ADB.

* Hint: solve for x first.

• 3x + 8 = 138

• 3x + 8 + 138 = 6x + 4

• 3x + 8 + 6x + 4 = 138

• 6x + 4 = 138

Part 3x + 8

Part 6x + 4​

whole 138​

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3x+8 + 6x+4 = 138​

​

​Some text here about the topic of discussion.

part + part = whole

Fill in the Blanks

Multiple Choice

The value of x?

x =

• 14

• 50

• 88

• 138

​Your turn! Good Luck

Multiple Choice

Find the value of ∠A.

• 25 degrees
• 30  degrees
• 35 degrees
• 90 degrees

Multiple Choice

Find the value of ∠A.

• 39 degrees
• 49 degrees
• 51 degrees
• 59 degrees

Multiple Choice

Solve for x

• x = 77
• x = 7.5
• x = 8
• x = 18

Multiple Choice

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

• x = 13

  m∠RST = 155°

  m∠RSU = 102°

• x = 3

  m∠RST = 35°

  m∠RSU = 12°

• x = 22

  m∠RST = 263°

  m∠RSU = 183°

• x = 8

  m∠RST = 95°

  m∠RSU = 57°

Multiple Choice

Solve

• x = 5

• x = 11

• x = 33

• x = 55

Multiple Choice

Solve

• 50°
• 58°
• 115°
• 226°

Multiple Choice

Solve

• 50°
• 58°
• 115°
• 226°

Multiple Choice

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

• x = 13

  m∠RST = 155°

  m∠RSU = 102°

• x = 3

  m∠RST = 35°

  m∠RSU = 12°

• x = 22

  m∠RST = 263°

  m∠RSU = 183°

• x = 8

  m∠RST = 95°

  m∠RSU = 57°