Question

Find x and y if p || q and m3=(4x+6y),m5=86,and m6=(5x+6y)

Answer 1

• (8, 9)

Explanation:

3 and 5 are vertical angles and are equal as per definition of vertical angles

• 4x + 6y = 86

5 and 6 are supplementary angles and sum up to 180 as per definition of supplementary angles

• 5x + 6y + 86 = 180 ⇒ 5x + 6y = 94

Comparing the two equations

• 6y = 86 - 4x and 6y = 94 - 5x

• 86 - 4x = 94 - 5x
• 5x - 4x = 94 - 86
• x = 8

Finding y

• 6y = 86 - 8*4
• 6y = 86 - 32
• 6y = 54
• y = 9

Answer

• (8, 9)