Fewpal
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In ∆PQR the measures of ∠P and ∠Q are equal and m∠PRQ = 70° , Find the measures of the following angles.

1. m∠PRT 

2. m∠P 

3. m∠Q

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Here, ∠PRQ and ∠PRT are angles in a linear pair. 

m∠PRQ + m∠PRT = 180°

∴70 + m∠PRT = 180 

∴m∠PRT = 180 – 70 

∴m∠PRT = 110° 

Now, ∠PRT is the exterior angle of ∆PQR. 

∴m∠P + m∠Q 

= m∠PRT 

∴m∠P + m∠P = m∠PRT ….(The measures of ∠P and ∠Q is same) 

∴2m∠P = 110 

∴m∠P =  110/2 

∴m∠P = 55° 

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