Question

Two opposite angles of a parallelogram are 5x-2 and 40-x. Find the measures of each angle of the parallelogram

Answer 1

Opposite angles of a parallogram are equal.
So, 5x-2=40-x
6x=42
X=7
Angle 1=5x-2 = 5(7)-2
= 35-2
=33
Angle 2= 40-x =40-7
=33

Answer 2

Hi...☺

Here is your answer...✌

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We know that,
★Opposite angle of parallelogram are equal

Therefore,
As per question,

5x-2 = 40-x

=> 5x+x = 40+2

=> 6x = 42

=> x = 7

These angle angle are = 5x-2
= 5(7)-2 = 35-2 = 33°

Now,
Another property,
★Sum of adjacent angle of parallelogram is 180°

Therefore others angle are = 180°-33°

= 147°

Hence ,
Angles are 33°,147°,33°,147°