Question

Measures of opposite angles of a parallelogram are (3x-2) and (50-x). Find the measure of its each angle

Answer 1

Answer:

anwser to this question is not possible as the measure for 50-x is coming in negative....

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

We know that,

Opposite angles of ||gm are equal

So,

3x - 2 = 50 - x

3x + x = 50 + 2

4x = 52

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{52}}{\cancel{4}}$

x = 13°

So,

Opposite angles of ||gm are:

3x - 2 = 37°

50 - x = 37°

So,

Now,

Sum of all angles of ||gm = 360°

Assume

Two opposite angles are 't'.

37 + 37 + t + t = 360°

74 + 2t = 360°

2t = 360 - 74

2t = 286

$\rm \: \: \: \: \: \: \: \: \:t=\dfrac{\cancel{286}}{\cancel{2}}$

t = 143°.

Therefore we get,

Other two opposite angles are 143°.