Question

two opposite angles of a parallelogram are (2x+6)and (96-x) find the value of x

Answer 1

as we know that the 2 opposite angles of a triangle are equal

then x =

2x+6 = 96-x

put variable in one side and constant in the other side

so

2x + x = 96 - 6

3x = 90

x = $\frac{90}{3}$

x = 30

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Answer 2

Given:

Two opposite angles of a parallelogram are (2x+6) and (96-x).

To find:

The value of x.

Solution:

To answer this question, first of all, we should know that in a parallelogram ABCD having angles angle A, angle B, angle C and angle D, the opposite angles are equal.

This means,

$angle \: A = angle \: C$

and,

$angle \: B = angle \: D$

So,

according to the question, we have,

the opposite angles of a parallelogram are (2x+6) and (96-x).

So,

These angles will be equal.

Thus, we have,

$2x + 6 = 96 - x$

On solving, we have,

$3x = 90$

$x = \frac{90}{3}$

$x = 30$

Hence, the value of x is 30.