Question

29 One of the angles of a triangle is equal to the sum of the other two angles. If the
ratio of the
other two angles is 4:5, find the angles of the triangle.​

Answer 1

Answer:40°,50°and90°

Hope it helps you

Answer 2

➳ Given :-

• One of the Angle in a Triangle is equal to sum of other two Angles.
• Ratio of Angles = 4 : 5 .

_____________________

⠀⠀⠀⠀⠀⠀⠀

➳ To Find :-

• Angles of the Triangle = ?

_____________________

⠀⠀⠀⠀⠀⠀⠀

➳ Solution :-

⠀⠀⠀⠀⠀⠀⠀

✠ Let Ratio of other two angles be 4x , 5x

• ➡ 4x + 5x = 9x

⠀⠀⠀⠀⠀⠀⠀

➠ Sum of all Angles in a Triangle = 180°

⠀⠀⠀⠀⠀⠀⠀

• Now, let's solve step by step -----

⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀$:\dashrightarrow \: \sf{4x + 5x + 9x = 180°} \\ \\ : \dashrightarrow \: \sf{18x = 180°} \\ \\ : \dashrightarrow \: \sf{x = \cancel\frac{180}{18} } \\ \\ : \dashrightarrow \: \sf \pink{x = 10}$

⠀⠀⠀⠀⠀⠀⠀

∴ The Angles of Traingle are :-

• 4x = 4 × 10 = 40°

• 5x = 5 × 10 = 50°

• 9x = 9 × 10 = 90°

_____________________

⠀⠀⠀⠀⠀⠀⠀

➳ Hence :-

• Angles of Triangle = 40° , 50° , 90°

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

$\large\sf\colorbox{pink}{Hope lt'z Help You\:\:!! }$