Math, asked by sandhyasuresh8072, 1 month ago

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Answered by anshika0521
9

Answer:

In ️PQR

60°+40°+<R=180° (by ASP of triangle ️)

100°+<R=180°

<R=180°-100°

<R=80°

<PRS+<PRQ=180°

80°+<PRS=180°

<PRS=180°-80

<PRS=100°

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Answered by Anonymous
11

Answer

  • The value of angle PRS = 100°.

Given

  • PQR is a triangle ∆.
  • Angle QPR = 60°.
  • Angle PQR = 40°.

To Find

  • The value of Angle PRS.

Step By Step Explanation

By using angle sum property :

Sum of all the angles of a triangle = 180°.

Therefore,

Angle QPR + Angle PQR + Angle PRQ = 180°

60 + 40 + Angle PRQ = 180

100 + Angle PRQ = 180

Angle PRQ = 180 - 100

Angle PRQ = 80°.

Now, We know that sum of straight line angles = 180°.

Hence,

Angle PRQ + Angle PRS = 180

80 + Angle PRS = 180

Angle PRS = 180 - 80

Angle PRS = 100°.

Therefore, the value of angle PRS = 100°.

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