PROBLEM:

3.) ∠a and ∠b formed a linear pair. Find the value of x and the measures of the two angles if m∠a = (x - 15)° and m∠b = (2x + 45)°

• In the problem, it is mentioned that ∠a and ∠b are linear pairs. These angles are supplementary.

• x - 15 + 2x + 45 = 180
• x + 2x - 15 + 45 = 180
• 3x + 30 = 180
• 3x = 180 - 30
• 3x = 150
• x = 150/3
• x = 50

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∠a = (x - 15)°

• x - 15
• 50 - 15
• 35

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∠b = (2x + 45)°

• 2x + 45
• 2(50) + 45
• 100 + 45
• 145

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• The value of x is 50
• ∠a = 35°
• ∠b = 145°

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