Question

if measures opposite angles of a parallelogram are(60-x)° and (3x-4)°, then find the values of X and Y.​(1 mark question)...

Answer 1

Given:

Opposite angles of parallelogram are:

• (60 - x)°
• (3x - 4)°

To find:

1. Values of x = ?

Method:

First let's understand the concept used.

Concept used:

Opposite angles af a parallelogram are equal.

(60 - x)° = (3x - 4)°

⇒ 60 - x = 3x - 4

⇒ 60 + 4 = 3x + x

⇒ 4x = 64

⇒ x = 64 ÷ 4

⇒ x = 16°

Now let's find the measure of each angles.

(60 - x)° = 60 - 16° = 44°

(3x - 4)° = 3(16) - 4 = 44°

∴ The 2 opposite angles of parallelogram are 44°

Answer 2

${\large{\pink{✯ \: \: { \bf{\underline{\underline{ Given}} \: \: ✯}}}}}$

• Measures opposite angles of a parallelogram are
• (60-x)°
• (3x-4)°

$\large{\pink{✯ \: \: { \bf{\underline{\underline{ To \: \: find }} \: \: ✯}}}}$

• Value of X and Y means value of these given angles.

$\Large{\red{꧁ \: \: { \bf{\underline{\underline{ Solution }} \: \: ꧂}}}}$

So, here value of x is :-

${\large{\bf{\implies{(60-x)° = (3x-4)°}}}}$

${\large{\bf{\implies{60-x = 3x-4 }}}}$

${\large{\bf{\implies{60 + 4 = 3x + x}}}}$

${\large{\bf{\implies{64 = 4x}}}}$

${\large{\bf{\implies{4x = 64}}}}$

$\\ {\large{\bf{\implies{x = \frac{64}{4} }}}}$

${\Large{\underline{\boxed{\blue{ \bf{\implies{x = 16}}}}}}}$

So, angles are :-

》(60-x)° = 60 - 16 = 44°

》 (3x-4)° = 3×16 - 4 = 44°