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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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- 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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