Question

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

Answer 1

Step-by-step explanation:

2x+3x+90 = 180

( sum of all angle of triangle = 180° )

5x +90 = 180

5x = 180-90

x = 90/5

x = 18

so

2x = 2×18

= 36°

3x = 3×18

= 54°

Answer 2

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°