Question

two opposite angles of a parallelogram are bracket 4 x minus 5 degree black at close and (60 degree minus x) close find the measure of each angle of a parallelogram​

Answer 1

Answer:

Step-by-step explanation:

Suppose the angles are A,B,C,D

A and C are opposite to each other and B and D are opp. to each other.

Opposite angles of parallelogram are congruent.

therefore angle A= angle C

so,

( 4x- 5) = 60-x

4x-5+x=60

5x-5 = 60

5x= 60+ 5

5x= 65

x= 65/5

x = 13

Now put the values

angle A= 4x- 5=  4*13-5   =52-5 = 47 degree

angle A = angle C

so angle C = 47

Angles on same side of parellogram are supplementary.

So

angle A + angle D = 180

47 + D = 180

D = 180 - 47

D = 133

Opposite angles of parallelogram are congruent.

so

angle D = angle B

133=133

Angle B = 133

A= 47

B= 133

C=47

D=133

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