Question

In the parallelogram MNOP, find angle O?
Plz answer this question...​

Answer 1

$\huge\purple{Required \: Answer :}$

<O = 65°

$\huge\red{Explanation :}$

Adjacent Angles of a parallelogram measures 180°

$(8x + 1) + (16x - 13) = 180 \\ 8x + 16x + 1 - 13 = 180 \\ 24x - 12 = 180 \\ 24x = 180 + 12 \\ 24x = 192 \\ x = \frac{192}{24} \\ x = 8$

• <M = <O , Opposite Angles are equal
• <O = 8x + 1 = 64 + 1 = 65°

Answer 2

Answer:

65°

Step-by-step explanation:

Given,

In //gm MNOP,Angle M =(8x+1)°

Angle N =(16x-13)°

In a parallelogram,

opposite sides are equal and sum of adjacent sides is 180°

Angle M=Angle O

Angle O=(8x+1)°

[tex]angle \: m + angle \: n = 180 \\ 8x + 1 + 16x - 13 = 180 \\ 24x - 12 = 180 \\ 24x = 180 + 12 \\ 24x = 192 \\ x = \frac{192}{24} = 8

Angle O =8x+1

=8(8)+1

=64+1

=65°