The angles in a triangle are in a ratio of 19 : 10 : 7. What is the sum of thrice the smallest angle and the twice the largest angle ?

The angles in a triangle are in a ratio of 19 : 10 : 7. What is the sum of thrice the smallest angle and the twice the largest angle ?
1). 275°
2). 295°
3). 280°
4). 273°

2 answers

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Guest · Answer 1 · 2019-04-06 19:42:48

Solution

Let the angles of the triangle be $19x , 10x , 7x$

=> Sum of angles = $19x + 10x + 7x = 180^{\circ}$

=> $36x = 180^{\circ}$

=> $x = \frac{180}{36} = 5^{\circ}$

=> Angles are = $95^{\circ} , 50^{\circ} , 35^{\circ}$

$\therefore$ Sum of thrice the smallest angle and the twice the largest angle

= $(3 \times 35^{\circ}) + (2 \times 95^{\circ})$

= $105 + 190 = 295^{\circ}$

Guest · Answer 2 · 2019-04-21 12:06:13