Question

If adjacent angle a and b of parallelogram abcd are in the ratio 7:5 then find all the angle of parallelogram

Answer 1

Step-by-step explanation:

First, let us find a and b

Let us take measure of angle as x

We know that sum of adjacent angles of a parallelogram is equal to 180°

Therefore,

7x + 5x = 180°

12x = 180°

x = 180 / 12

  = 15

a = 15 X 7 = 105°

b = 15 X 5 =75°

Since opposite angles of a parallelogram are equal,

the angles are 105° , 75° , 105° , 75°.

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