Question

help me solve this step by step​

Answer 1

Given :-

In ∆ABC , A = 3x + 1 ; B = 2x ; C = 2x + 4

R.T.P :-

To find the value of x....

Solution :-

We know that ,

Sum of angles in a triangle = 180°

So ,A + B + C = 180°

Substituting the A , B , and C values in it , we get

$3x + 1 + 2x + 2x + 4 = 180$

$7x + 5 = 180$

$7x = 180 - 5$

$7x = 175$

$x = \frac{175}{7}$

$x = 25$

So x = 25°

A = 3(25)+1=76°

B = 2(25) = 50°

C = 2(25)+4 = 54°

• I hope it helps you.....

Answer 2

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AnsWer :

X= 25°.

Solution :

We have triangle ABC,

it's Angle,

$\angle A= 3x + 1. \\ \angle B = 2x. \\ \angle C = 2x + 4.$

We know that, Sum of all angle of triangle is 180°

So,

$\implies \angle A + \angle B + \angle C = 180 \degree. \\ \implies 3x + 1 + 2x + 2x + 4 = 180. \\ \implies7x = 180 - 5. \\ \implies x = \frac{ \cancel{175}}{ \cancel7} \\ \implies x = 25.$

Now,

$\angle A = 3x + 1 \implies75 \degree.$

$\angle B = 2x \implies 50 \degree$

$\angle C= 2x + 4 \implies54 \degree.$

Therefore,the value of x be 25°.