Question

n the given figure, if l | | m and a : b = 2 : 3 then find the value of y.​

Answer 1

Step-by-step explanation:

Let 2x & 3x be a and B respectively.

We have,

$\rm\blue{2x+3x=180°}$

[°.° Supplementary angles]

Finding x:

2x + 3x = 180°

⇒5x = 180°

⇒x = 180°/5

⇒x = 36°

$\bf\pink{.°. x = 36°}$

Finding $\angle{a}$ & $\angle{b}$ :

$\angle{a}$ = 2x = 2 × 36° → 72°

$\angle{b}$ = 3x = 3 × 36° → 108°

Finding $\angle{y}$ :

$\angle{b}$ = $\angle{y}$ [°.° Corresponding angles]

→ 108° = $\angle{y}$

Hence, $\angle{y}$ = 108°

Answer 2

Answer:

Given :-

In the figure L l l M and a:b = 2:3

To Find :-

Value of y

Solution :-

Angle B = Angle Y

As they are corresponding lines

Now

Let the ratio be 2x and 3x

$\tt \: 2x + 3x = 180$

$\tt \: 5x = 180$

$\tt \: x \: = \dfrac{180}{5}$

$\tt \: x \: = \cancel \dfrac{180}{5}$

$\tt \: x \: = 36$

Now,

$\tt \therefore \: 3x = 3(36) = 108 \degree$

$\tt \therefore \: y = 108 \degree$