Question

Abcd is a parallegram . If angle d =70 degree calculate the remaining angles

Answer 1

Hello,

Here is your answer,

In a parallelogram opposite sides are equal
So , angle D = angle B = 70 °
and , angle A = angle C = suppose x°
We know that the sum of interior angles of a quadrilateral = 360°
So,
$70 + 70 + x + x = 360 \\ 140 + 2x = 360$
$2x = 360 - 140 \\ 2x = 220$
$x = \frac{220}{2} \\ x = 110$
Angle A= angle C = 110°

Hope it helps u...
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Answer 2

if angle D is 70° so
angle B is also 70° (due to vertically opposite) angles .
angle A + B = 180° (sum of interior angles )
angle A + 70° = 180°
angle A = 180-70
angle A = 110°
angle A = angle C ( vertically opposite angles )
110° = angle C
angle A , C = 110°
angle B , D = 70°