Question

Answer this question

Answer 1

Answer:

b=100°

Step-by-step explanation:

Let a and b be 4x and 5x

4x+5x = 180°

9x=180°

x=20°

b= 20×5 = 100°

Answer 2

$\huge{\red{\underline{\overline{ᴀ}}}}{\color{orange}{\underline{\overline{ɴ}}}}{\color{gold}{\underline{\overline{s}}}}{\color{green}{\underline{\overline{ᴡ}}}}{\blue{\underline{\overline{ᴇ}}}}{\pink{\underline{\overline{ʀ}}}}\star$

$\bull \: \: \: \: \: \: \large\red{ \underline{ \underline{ \green{ \bf{b = 100 {}^{o} }}}}}$

Step-by-step explanation:

Given :

• a : b = 4 : 5

To Find :

• the value of b

Solution :

$\underline{ \bf{\dag \: as \: we \: know}}$

$\boxed{ \sf{ \pink{Sum \: of \: \: interior \: and \: exterior \: angle = 180°}}}$

__________________________________________

Let the angles be 4x and 5x respectively

$\\ \dashrightarrow \sf \angle a + \angle \: b = 180 {}^{o}$

$\\ \sf\dashrightarrow4x + 5x = 180 {}^{o}$

$\\ \dashrightarrow \sf9x = 180 {}^{o}$

$\\ \dashrightarrow \sf \: x = \cancel\frac{180 {}^{o} }{9}$

$\\ \dashrightarrow \large{\underline{\boxed{ \purple{ \frak{x = 20 {}^{o} }}}} \star}$

Now, put the value of x

• 5x ⇢ 5(20°) ⇢ 100°

__________________________________________

$\underline{ \text{Therefore, the value of b is 100° }}$