Question

18. In the given figure, AB = CD, OM 1 AB and ON 1 CD. If LAMN = 70°, then find the measure of MON and MNO. ​

Answer 1

75°

Step-by-step explanation:

Since AB=CD (equal chords) so, their distance from centre must le equal

So, OM=ON

Now, In △MON

(1) ∠OMN=∠ONM

(2) ∠OMN+∠ONM+∠MON=180

0

⇒2∠OMN+150

0

=180

0

⇒∠OMN=15

0

Also, ∵M is midpoint of AB

OM⊥AB⇒∠AMO=90

0

Now, ∠AMN=∠AMO−∠OMN=90

0

−15

0

=75

0