Question

Angle of a triangle are [x-5°],[x+15°],[2x-30°].Find the angles

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore First \: angle = 45 \degree}}$

${\bold{\therefore Second \: angle =65 \degree}}$

${\bold{\therefore Third\: angle = 70 \degree}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies First \: angle = (x - 5) \degree \\ \\ \implies Second \: angle = (x + 15) \degree \\ \\ \implies Third \: angle = (2x - 30) \degree \\ \\ \underline \bold{To \: Find : } \\ \implies First \: angle =? \\ \\ \implies Second \: angle =? \\ \\ \implies Third \: angle =?$

• According to given question :

$\bold{Using \: triangle \: property \to} \\ \\ \bold{Sum \: of \: all \: angles \: of \: triangle \: is \: 180 \degree} \\ \implies x - 5 + x + 15 + 2x - 30 = 180 \\ \\ \implies 4x - 20 = 180 \\ \\ \implies 4x = 180 + 20 \\ \\ \implies 4x = 200 \\ \\ \implies x = \frac{ \cancel{200}}{ \cancel4} \\ \\ \bold{\implies x = 50} \\ \\ \bold{ First \: angle =x - 5 = 50 - 5 = 45 \degree} \\ \\ \bold{ Second \: angle =x + 5 = 50 + 1 5 =65 \degree} \\ \\ \bold{ Third\: angle =2x - 30= 100 - 30= 70\degree}$