Question

The ratio between the base angle and the vertical angle of an isosceles triangle is 2:5. Find each of the trangle.​

Answer 1

Step-by-step explanation:

2 X + 2 X + 5 x = 180

12x =180

x= 180/12

x=15

2x=15×2=30

and 5x= 5×15= 75

Answer 2

AnswEr :

The angles are 40°, 40° and 100°.

Given :

• Ratio between the base angle & the vertical angle of an isosceles triangle is 2:5.

To Find :

• Angles of each triangle.

Calculation :

Let's assume the angles of each triangle $\triangle$ as 'x'

So, the angles are :-

• ${ \blue{\rm \: 2 x }}$
• ${ \blue{\rm \: 2 x }}$
• ${ \blue{\rm \: 5 x }}$

Now, calculating :-

$\longrightarrow \sf \: 2x \: + \: 2x \: + \: 5x \: = \: 180° \: \\ \\ \\ \longrightarrow \sf \: 9x \: = \: 180° \: \bf \: \bigg(Sum \: of \: three \: angles \bigg) \\ \\ \\ \longrightarrow \sf \: x \: = \: \cancel \dfrac{180}{9} \\ \\ \\ \longrightarrow {\boxed{ \bf{ \red{20}}}} \star$

$\therefore$ Hence, the sum of three angles is 20.

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• Now, let's calculate the angles. In order to calculate the angles, we'll be multiplying the angles with the value of sum of three angles.

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~ Calculating for first angle ;

$\dag \: {\underline{ \bf{First \: angle :}}} \\ \\ \\ \longrightarrow \sf \: 2x \: \times \: 20 \\ \\ \\ \longrightarrow{ \boxed{ \blue{ \bf{40}}}} \star \:$⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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~ Calculating for second angle ;

$\dag \: {\underline{ \bf{Second \: angle :}}} \\ \\ \\ \longrightarrow \sf \: 2x \: \times \: 20 \\ \\ \\ \longrightarrow{ \boxed{ \green{ \bf{40}}}} \star \:$

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~ Calculating for third angle ;

$\dag \: {\underline{ \bf{Third \: angle :}}} \\ \\ \\ \longrightarrow \sf \: 5x \: \times \: 20 \\ \\ \\ \longrightarrow{ \boxed{ \red{ \bf{100}}}} \star \:$

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Therefore, the angles are 40°, 40° and 100°.