Question

Answer :

find the angle 2x and 3x if one angle is 90° of a triangle​

Answer 1

Answer:

Question:-

find the angle 2x and 3x if one angle is 90° of a triangle

Answer:-

First angle = 36°

Second angle = 54°

To find:-

All angles of triangle

Solution:-

First angle = 2x

Second angle = 3x

Third angle = 90°

As we know,

Sum of all angles of triangle = 180°

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: 2x + 3x + 90 \degree = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: \: \: \: 5x = 180 \degree - 90 \degree}$

$\large{ \tt : \implies \: \: \: \: \: \: \: 5x = 90 \degree}$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = \frac{90}{5} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: x = 18\degree}$

First angle = 36 °

Second angle = 54°

Hence,

The angles of triangle are 36°,54° and 90°

Answer 2

36,54

Step-by-step explanation:

2x+3x+90°=180° (Angle sum property)

5x+90°=180°

5x=90°

x=90/5

x=18