Question

1) The measure of angles of a hexagon are x, x-5, x-5 ,2x-5 ,2x-20 Find the value of x.
2) In parallelogram RICE, angle R = 3x -2 and angle C =50 - x. find X and all the angles of parallelogram .
3)diagonal and a side of a rhombus are of equal length . find the measure of angle of rhombus .​

Answer 1

Answer:X=13,R=37°,I=143°,C=37°,E=143°

2.ASPER THE RULES OF PARALLELOGRAM.OPPOSITE ANGLES ARE EQUAL.

NOW IN THIS Q. RICE IS A PARALLELOGRAM

R=3x-2 and C=50-x

As we know opposite angles are equal

We should write

3x-2=50-x

3x+x=50+2

4x=52

x=52/4

x=13

Now as we know the sum of all the ANGLES of a QUADRILATERAL IS 360°

ANGLE R=ANGLE C=3×13-2=37°

Angle R +C = 37×2 =74°

And let the Angle I and E be z

2z = ANGLE I and E

2z=360-74

2z=286°

z=286/2=143°

Now ANGLE I = ANGLE =143°EACH

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HOPE YOU HAVE UNDERSTOOD

-----------THANK YOU--------------

Step-by-step explanation:the explanation has been given on the top along with the ans.