find the angle 2x and 3x if one angle is 90° of a triangle
Answers
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}:⟹2x+3x+90°=180°
\large{ \tt : \implies \: \: \: \: \: \: \: 5x = 180 \degree - 90 \degree}:⟹5x=180°−90°
\large{ \tt : \implies \: \: \: \: \: \: \: 5x = 90 \degree}:⟹5x=90°
\begin{gathered} \large{ \tt : \implies \: \: \: \: \: \: \: x = \frac{90}{5} } \\ \end{gathered}
:⟹x=
5
90
\large{ \tt : \implies \: \: \: \: \: \: \: x = 18\degree}:⟹x=18°
First angle = 36 °
Second angle = 54°
Hence,
The angles of triangle are 36°,54° and 90°
Step-by-step explanation:
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