Question

in the adjoining figure, M is the centre of the circle

If<PNR=64 the measure of <PMR is:

(a) 132 (b) 128 (c) 124 (d) 158​

Answer 1

Answer:

hope this will help

Step-by-step explanation:

m(arc PR) = m∠POR [Definition of measure of arc ] ∴ m(arc PR) = 70° ii. chord PQ chord RS [Given] ∴ m(arc PQ) = m(arc RS) = 80° [Corresponding arcs of congruents chords of a circle are congruent] Now, m(arc QS) + m(arc PQ) + m(arc PR) + m(arcRS) = 360° ∴ m(arc QS) + 80° + 70° + 80° = 360° [Measure of a circle is 360°] ∴ m(arc QS) + 230° = 360° ∴ m(arc QS) = 130° iii. m(arc QSR) = m(arc QS) + m(arc SR) [Arc addition property] = 130° + 80° ∴ m(arc QSR) = 210°Read more on Sarthaks.com - https://www.sarthaks.com/854638/in-the-adjoining-figure-the-centre-circle-chord-pq-chord-rs-if-por-70-and-arc-rs-80-find-arc?show=854645#a854645