The required angle in quadrilateral is m∠B = 114°
, m∠C= 66°.
Given that,
ABCD is a parallelogram.
m∠A = 66°, m∠B = x°, m∠C = y°
, m∠D = 114°
According to the question,
Opposites sides of a parallelogram are equal and parallel to each other. All the angles of a parallelogram add up to 360degree.
∠A + ∠B + ∠C + ∠D = 360°.
Opposite angles of a parallelogram are congruent,
And Consecutive angles of a parallelogram are supplementary.
Therefore,
In the parallelogram ABCD,
m∠B = m∠D
m∠A = m∠C
Therefore, The value of m∠D = 114°, m∠A = 66°
From equation 1 and 2 ,
m∠B = m∠D
m∠A = m∠C
Then,
m∠B = 114°
m∠C = 66°
Hence, The required angle in quadrilateral is m∠B = 114°
, m∠C= 66°.
For more information about Parallelogram click the link given below.
https://brainly.com/question/23277747
