in the given figure if measure of <80° then what is the measure of <2.[
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Where is the figure ?
plz provide the fig.
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In △MQO
⇒ ∠MQO=20 o [ Given ]
⇒ OM=OQ [ Radius of a circle ]
∴ ∠MQO=∠QMO=0 o [ Base angles of equal sides are also equal ]
⇒ ∠MQO+∠QMO+∠QOM=180 o
⇒ 20 o +20 o +∠QOM=180 o
⇒ 40 o +∠QOM=180 o
⇒ ∠QOM=180 o −40 o
∴ ∠QOM=140 o
Now,
⇒ ∠QOM+∠MOP=180 o. [ Linear pair ]
⇒ 140 o +∠MOP=180 o
⇒ ∠MOP=180 o −140 o
∴ ∠MOP=40 o .
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