Math, asked by manishasalunke5265, 1 month ago

plz solve this fast ​

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Answered by kritikamunder
1

Step-by-step explanation:

Given: M is the centre of circle. ∠ABC is inscribed in arc ABC. Arcs ABC and AXC are semicircles. To prove: ∠ABC = 90

Proof: ∠ABC = 1/2 m(arc AXC) (i) [Inscribed angle theorem] arc AXC is a semicircle. ∴ m(arc AXC) = 180° (ii) [Measure of semicircular arc is 1800] ∴ ∠ABC = 1/2 × 180° ∴ ∠ABC = 90° [From (i) and (ii)]Read more on Sarthaks.com - https://www.sarthaks.com/851651/angle-inscribed-semicircle-right-angle-with-the-help-given-figure-write-given-prove-proof

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