Question

The measures of the angles in a triangle are in the ratio of 1:2:6. Find the number of degrees in the largest angle of the triangle.​

Answer 1

Answer:

• Wkt, Sum Of the Angles in a triangle is equal to 180. So, Let's do sum and equal to 180°

${ { \dashrightarrow{ \sf{1x + 2x + 3x = 180}}}}$

${ { \dashrightarrow{ \sf{9 x= 180}}}}$

${ { \dashrightarrow{ \bf{x = 20}}}}$

• Finding The angles by substituting the value of x

${ { \dashrightarrow{ \sf{1x= 1(20) = 20° }}}} \\ \\ { { \dashrightarrow{ \sf{2x = 2(20)= 40°}}}} \\ \\ { { \dashrightarrow{ \sf{6x=6(20)=120°}}}}$

Therefore,

• The angles are 20,40,120 & the largest angle is 120°