Question

In the given figure, find x.​

Answer 1

$\huge{\underline{\underline{\boxed{\sf{\purple{❥︎sᴏʟᴜᴛɪᴏɴ ࿐}}}}}}$

⇏ According to Triangle Angle Sum Theorem:

⇏ All interior angles of a triangle are more than 0° but less than 180°. The sum of each interior angle and exterior angle is equal to 180°.

⇏ So, here the three angles are (x+10),(2x+15),(3x+5).

$\red{ \longmapsto\:}$ x+10+2x+15+3x+5 = 180

$\red{ \longmapsto\:}$ 3x+x+2x+10+15+5 = 180

$\red{ \longmapsto\:}$ 6x + 30 = 180

$\red{ \longmapsto\:}$ 6x = 180-30

$\red{ \longmapsto\:}$ 6x = 150

$\red{ \longmapsto\:}$ x = 150/6

$\red{ \longmapsto\:}$ x = 25

⇏ x = 25

$\boxed{ \huge{ \fcolorbox{red}{black}{ \pink{♡Stay Safe♡}}} }$

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