Question

In Δ PQR, the measures of ∠P and ∠Q are equal and m∠PRQ = 50°. Find the measures of the following angles . (i) m∠PRT (ii)m∠P​

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° Read more on Sarthaks.com - https://www.sarthaks.com/863131/pqr-the-measures-p-and-q-are-equal-and-mprq-70-find-the-measures-of-the-following-angles?show=863141#a863141