Question

Two opposite angles of a parallelogram are (3x-2)^0 and (50-x)^0. Find the value of x.

Answer 1

Answer: 13

Step-by-step explanation:

we know that opposite angles of parallelogram are equal

therefore,

3x-2 = 50-x

3x+x = 50+2

4x = 52

x = 52/4

x = 13 degrees

Answer 2

Given:

Two opposite angles of a parallelogram are $(3x – 2)°$ and $(50 – x)°$

Note:

Opposite sides of a parallelogram are equal:

Solution:

$∵ (3x – 2)°= (50 – x)°$

$\implies{3x + x = 50 + 2}$

$\implies{4x = 52°}$

$\implies{x = \frac{52}{4}}$

$\bold{\red{∴ x = 13°}}$

Hence, the value of x is 13°.

_____________________________