Question

In the given figure , find the value of "y"


Hence, find 6y ans 2y​

Answer 1

$in \: figure \: given \: \\ 6y + y + 2y = 180 \: \: \: {linear \: pair} \\9y = 180 \\ y = 20$

$6y = 6(20) \\ 6y = 120 \\ 2y = 2(20) \\ 2y = 40$

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Answer 2

♡ Given:

• In the figure, 6y , y and 2y are forming a straight line.

♡ To find:

• The value of y

♡ Answer:

• y = 20°

♡ Solution:

$\because$ We know that the sum of angles in a straight line is 180°,

$\therefore$ 6y + 2y + y = 180°

(Sum of angles in a straight line is 180°)

$\implies$ 9y = 180°

$\sf \implies y \: = \: \sf \dfrac{{180}^{\circ}}{9}$

$\sf \implies \boxed{y \: = \: {20}^{\circ}}$

♡Verification:

The value of y = 20°

So, putting the value of y in  6y + 2y + y = 180°, we get:

6(20°) + 2(20°) + 20°

= 120° + 40° + 20°

= 180°

$\because$ LHS = RHS,

Hence Verified too!

♡ Concepts Used:

• The sum of angles in a straight line is 180°

• Addition of unknown variables

• Transposition Method

• Division of numbers

♡ Extra - Information:

➠ The sum of angles in a linear pair is 180°

➠ In a supplementary pair of angles, the sum of both angles is 180°.

➠ The sum of complementary angles is 90°

➠ Vertically Opposite angles are equal.

➠  90° angle is known as 'right angle'.