Question

In APQR, the measures of ZPand ZQare equal and mZPRT = 140°. Find the measures of the following angles. i) mp (ii)mzQ​

Answer 1

Step-by-step explanation:

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°