In the given figure ang ONY 50 deg and ang OMY 15 deg Then the value of the ang MON is ........

Quantitative Aptitude ( CCS) Geometry

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In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is

30°

40°

20°

70°

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Explanation:

∠ONY = 50° and ∠OMY = 15°
In ΔONY,
ON = OY (radii)
∠OYN = ∠ONY = 50°
∴ ∠NOY = 180° – ∠ONY – ∠OYN = 180° – 50° – 50° = 80°
In ΔOMY,
OM = OY (radii)
∠OYM = ∠OMY = 15°
∴ ∠MOY = 180° – ∠OMY – ∠OYM = 180° – 15° – 15° = 150°
∴ ∠MON = ∠MOY – ∠NOY = 150° – 80° = 70°