Given δmno, find the measure of ∠mno.

28°

Step-by-step explanation:

In the given picture , we are given that ∠NOP = 104°.

Also, in triangle MNO ,

segment MN ≅ segment NO

⇒ ∠NMO ≅ ∠NOM       [Angles opposite to equal sides of a triangle are equal]                                                                                                 (i)

Also, ∠NOM+∠NOP=180°

⇒ ∠NOM=180°-∠NOP = 180°- 104° = 76°

From (i) , ∠NMO = ∠NOM = 76°

Now, in  ΔMNO, we have

⇒∠MNO+∠NMO + ∠NOM=180°     [Angle sum property]

⇒∠MNO +76°+76°=180°

⇒∠MNO +152°=180°

⇒∠MNO =180°-152°=28°

Hence, the measure of ∠MNO = 28°

The correct answer is A. 28 degrees.

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step-by-step explanation:

the answer is a

step-by-step explanation: