In the parallelogram ABCD the required value of p is 6.
Given that,
ABCD is a parallelogram,
Angle a = 4p+12 degree,
And angle c is 36 degree.
We have to find,
The value of p .
According to the question,
A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides.
Diagonals of a parallelogram are the segments which connect the opposite corners. In parallelogram opposite angles are congruent.
Now, In the parallelogram ABCD,
m∠A = m∠C
m∠B = m∠D
Where, m∠A = (4p+12)° and m∠C = 36°.
Then, m∠A = m∠C
= (4p + 12) = 36
= 4p + 12 = 36
= 4p = 36 - 12
= 4p = 24
= p = [tex]\frac{24}{4}[/tex]
= p = 6
Hence, The required value of p is 6.
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