Question

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Answer 1

Answer:

hope it helps you.........

Answer 2

Given :

• $\angle$ A = 5x - 60° , $\angle$ B = 2x + 40° , and $\angle$ C = 3x - 80°

To find :

• The value of x in the given figure.

Solution :

We know that :

The sum of three angles in a ∆ is : 180°

[angle sum property]

Hence,

we can write that :

$\green{ \bf \longmapsto\angle A + \angle B + and \angle C = 180° }$

$☯ \begin{gathered}\underline{\boldsymbol{According\: to \:the\: question :}}\\\end{gathered}$

$\bf \longmapsto( 5x - 60) \degree + (2x + 40) \degree + (3x - 80) \degree = 180 \degree$

$\bf \longmapsto 5x - 60 \degree + 2x + 40\degree + 3x - 80 \degree = 180$

$\bf \longmapsto 10x \degree - 100 \degree = 180 \degree$

$\bf \longmapsto 10x \degree = (180 + 100) \degree \:$

$\bf \longmapsto 10x \degree = 280 \degree$

$\bf \longmapsto x = \frac{28 \cancel 0}{1 \cancel 0}$

${ \underline{ \boxed{ \green{ \bf \therefore x = 28 \degree}}}}$

Afterall solving we get :

x = 28°

Hence,

➠$\angle$ A = 5x - 60°

⟹ $\angle$ A = (5 × 28) - 60°

⟹ $\angle$ A = (140 - 60)°

⟹ $\angle$ A = 80° ans.

➠ $\angle$ B = 2x + 40°

⟹ $\angle$ B = (2 × 28)° + 40°

⟹ $\angle$ B = (56 + 40)°

⟹ $\angle$ B = 96° ans.

and ,

➠ $\angle$ C = 3x - 80°

⟹ $\angle$ C = (3 × 28)° - 80°

⟹ $\angle$ C = (84 - 80)°

⟹ $\angle$ C = 4° ans.

Verification :

As we know that sum of all angles are equal to 180°

Therefore,

The required answer i.e., 80° , 96° , and 4° must be equal to 180°

Procedure :

⟹ (80 + 96 + 4)° = 180°

⟹ 180° = 180°

L. H. S. = R. H. S.

Hence, verified