Question

The value of x as shown in the given figure is __________________ (PQ is a straight line)


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Answer 1

Answer:

The value of x as shown in the given figure is __________________ (PQ is a straight line)

Answer 2

Answer:

In the given fig., ∠PQA,∠AQB and ∠BQR forms a linear pair.

Therefore,

∠PQA+∠AQB+∠BQR=180°

(x+20°)+(2x+10°)+(x−10°)=180°

4x+20°=180°

⇒x=

4

180°−20°

=40°

Therefore,

∠AQB=2x+10°=2×40°+10°=90°

∠BQP=(x+20°)+(2x+10°)=3x+30°=3×40°+30°=150°

∠AQR=(2x+10°)+(x−10°)=3x=3×40°=120°