Question

if the opposite angles of a parallelogram are (3x-3) degree and (6x-69) degree, find all angles of parallelogram
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Answer 1

Answer:

Let the parallelogram be ABCD

Then the angles will be A,B,C and D

angle A = 3x-3

and angle C = 6x-69

The opposite angles of a parallelogram are equal

3x-3 = 6x-69

69-3 = 6x-3x

3x = 66

x = 22

the angles are:

angle A =

3x-3 = 3*22-3

= 66-3

= 63 degree

Angle C=

6x-69= 6*22 -69

= 132-69

=63 degree

the sum of adjacent angles in a llgm. is 180 degree

angle A + angle B=180

63+ angle B=180

angle B = 117 degree

angle B= angle D = 117 degree

Hope it helps you...