Question

Ingles of a triangle are (2x + 10). (x+20) and (x-10). F
in a special name to the triangle​

Answer 1

Correct Question :

Angles of a triangle are 2x + 10 , x + 20 and x - 10 . Find the measure of the angles and give a special name to the triangle .

Answer :

$\sf\pink{Given:}$

• first angle is 2x + 10

• second angle is x + 20

• Third angle is x - 10

$\sf\pink{To\:find:}$

• measure of angles ?

• special name for triangle ?

Explanation :

$\bf\red{Rule :}$

Sum of all angle of triangle = 180°

$\bf\red{Equation\: formed:}$

$\sf{2x + 10 + x + 20 + x - 10 = 180}$

$\longrightarrow\sf{2x + x + x - 10 + 10 + 20 = 180}$

$\longrightarrow\sf{4x + 20 = 180}$

$\longrightarrow\sf{4x = 180 - 20}$

$\longrightarrow\sf{4x = 160 }$

$\longrightarrow\sf{x = \dfrac{160}{4} }$

$\longrightarrow\sf{x = 40}$

• first angle is 2x + 10

$\longrightarrow\sf{2\times 40 + 10}$

$\longrightarrow\sf{80 + 10}$

$\longrightarrow\sf{90}$

• second angle is x + 20

$\longrightarrow\sf{40 + 20}$

$\longrightarrow\sf{60}$

• Third angle is x - 10

$\longrightarrow\sf{40 - 10}$

$\longrightarrow\sf{30}$

Therefore it is a right angled triangle as it's one angle is 90°

Answer 2

Explanation:

Given:

first angle is 2x + 10

second angle is x + 20

Third angle is x - 10

\sf\pink{To\:find:}Tofind:

measure of angles ?

special name for triangle ?

Explanation :

\bf\red{Rule :}Rule:

Sum of all angle of triangle = 180°

\bf\red{Equation\: formed:}Equationformed:

\sf{2x + 10 + x + 20 + x - 10 = 180}2x+10+x+20+x−10=180

\longrightarrow\sf{2x + x + x - 10 + 10 + 20 = 180}⟶2x+x+x−10+10+20=180

\longrightarrow\sf{4x + 20 = 180}⟶4x+20=180

\longrightarrow\sf{4x = 180 - 20}⟶4x=180−20

\longrightarrow\sf{4x = 160 }⟶4x=160

\longrightarrow\sf{x = \dfrac{160}{4} }⟶x=

4

160

\longrightarrow\sf{x = 40}⟶x=40

first angle is 2x + 10

\longrightarrow\sf{2\times 40 + 10}⟶2×40+10

\longrightarrow\sf{80 + 10}⟶80+10

\longrightarrow\sf{90}⟶90

second angle is x + 20

\longrightarrow\sf{40 + 20}⟶40+20

\longrightarrow\sf{60}⟶60

Third angle is x - 10

\longrightarrow\sf{40 - 10}⟶40−10

\longrightarrow\sf{30}⟶30

Therefore it is a right angled triangle as it's one angle is 90°