Writing Equations with Special Angle Pairs

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What I should have out

What I should have away

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Mr. Gassler's Favorite Franchise

Angle Addition Postulate and Special Angle Pairs

Objective: Find missing values for complementary, supplementary and vertical angles.

Math Response

WARM-UP: If m∠GHZ = (2x)°, m∠ZHI = (6x)°,

and m∠GHI = 128°, find x.

Type answer here

Correct Answer: 16

Deg^°

Rad

Complementary Angles

​Angles whose measure adds up to 90°.

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The box lets us know it is a right angle.

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58 + 32 = 90

EXAMPLE

Given the angles, find x.

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Multiple Choice

Which equation below would you use to solve for x?

• 3x + 51 = 90

• 3x = 90

• 3x - 51 = 90

• 3x = 90 + 51

• 3x + 90 = 51

Math Response

Solve for x.

Type answer here

Correct Answer: 13

Deg^°

Rad

Supplementary Angles

​Angles whose measure adds up to 180°.

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If it makes a straight line it adds up to 180°.

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118 + 62 = 180

EXAMPLE

Given the angles, find x.

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Multiple Choice

Which equation below would you use to solve for x?

• 5x + x + 30 = 180

• 5x + x + 30 = 90

• 5x = x + 30

• 5x + 180 = x + 30

• 5x = x + 30 + 180

Math Response

Solve for x.

Type answer here

Correct Answer: 25

Deg^°

Rad

Vertical Angles

​Vertical angles are EQUAL.

57° = 57°

123° = 123°

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Adjacent Angles add up to 180°

57° + 123° = 180°

EXAMPLE

Given the angles, find x.

Multiple Choice

Which equation below would you use to solve for x?

• 3x - 8 = 67

• 3x - 8 + 67 = 180

• 3x - 8 + 67 = 90

• 3x - 8 = 180 + 67

• 3x - 8 = 90 + 67

Math Response

Solve for x

Type answer here

Correct Answer: 25

Deg^°

Rad

Open Ended

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