Question

9. In the given figure find angle P.if q and r are angles 120 and 110.​

Answer 1

Answer:

P = 50°

Step-by-step explanation:

Given,

Q = 120°, R = 110°

To find,

P= ?

Solution:

Q + 120° = 180°........(Angles in a linear pair)

Q = 180° - 120°

Q = 60°

R + 110° = 180°.........(Angles in a linear pair)

R = 180° - 110°this

R = 70°

P + Q + R = 180°.......(Sum of measures of angles in a triangle is 180°)

P + 60° + 70° = 180°

P + 130° = 180°

P = 180° - 130°

P = 50°

Therefore, P = 50°

Answer 2

Given : q and r are angles 120 and 110.​

To Find : angle P

Solution:

120° + ∠Q  = 180°   linear pair

=> ∠Q  = 60°

110° + ∠R  = 180°   linear pair

=> ∠R  = 70°

∠P + ∠Q + ∠R  = 180°

=> ∠P +  60° +  70° = 180°

=>  ∠P  = 50°

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