Question

10. Determine x in the given figure

Answer 1

Answer:

x = 216

Step-by-step explanation:

Since PRQ is a straight line (x/2) and (x/3) will add upto 180 .

x/2 + x/3 = 180

3x/6 + 2x/6 = 180

5x/6 = 180

5x = 1080

x=216

Checking :

x/2= 216/2 = 108

x/3=216/3= 72

108+72 = 180.

Hope this helps.

Answer 2

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To Solve:

• Determine x in the given figure

Solⁿ:

• We see that they are Linear Pairs

Linear Pair - Those adjacent angles whose sum is 180°.

Angles: x/2 , x/3

Eqⁿ so formed:

$\frac{x}{2} + \frac{x}{3} = 180 \\ \\ \frac{3x + 2x}{6} = 180 \\ \\ \frac{5x}{6} = 180 \\ \\ 5x = 180 \times 6 \\ \\ 5x = 1080 \\ \\ x = \frac{1080}{5} \\ \\ x = 216$

Value of x = 216

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Angles are :

216/2 = 108°

216/3 = 72°

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HOPE IT HELPS

MARK BRAINLIEST PLS :)