Question

ABCD is a parallelogram in which angle A=74°. find the measures of each of the remaining angles of the parallelogram​

Answer 1

Answer:

We know that Opposite interior angles of a ||gm is equal .

angle A = 74°

Then , angle C = 74°

Angle B = angleC = x°

Now , We know that the sum of each interior angle of any quadrilateral is 360°

So , angle(A + B + C + D) = 360

74° + x + 74° + x = 360

2x + 148° = 360

2x = 360 - 148 = 212

x = 212/2 = 106°

Hence ,

A = C = 74°

B = D = 106°

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