Question

two angles of a triangle are equal is one 16 degree and their difference is 24 find the measure of each angle of a triangle

Answer 1

Let two discussed angles are x and y,



Their sum = 116
⏩ x + y = 116 ------: ( 1 )



Their difference = 24
⏩ x - y = 24 -------: ( 2 )




Adding ( 1 ) & ( 2 ) ,

▶ 2x = 140
▶ x = 70°




Putting the value of x in ( i ) ,
x + y = 116
70 + y = 116
y = 46°





Discussed angles = x and y
x = 70 and y = 46





We know that the sum if all angles of a triangle is 180°
So,


↪ x + y + renaming angle = 180°

↪ remaining angle = 180 - 116

➡ Remaining angle = 64°







$\bold{ \underline{Angles \: are \: 70, 64, 46 \: }}$

Answer 2

❤❤Here is your answer ✌ ✌

$\huge\underline {\red {\bold {Answer}}}$


Let two angles are x and y, 


Their sum = 116
⏩ x + y = 116 ------: ( 1 ) 

Their difference = 24
⏩ x - y = 24 -------: ( 2 ) 


Adding ( 1 ) & ( 2 ) , 

▶ 2x = 140 
▶ x = 70°

Putting the value of x in ( i ) , 
x + y = 116
70 + y = 116
y = 46° 


Discussed angles = x and y 
x = 70 and y = 46


We know that the sum if all angles of a triangle is 180°
So, 

x + y + renaming angle = 180°

remaining angle = 180 - 116

➡ Remaining angle = 64°

Angles are 70, 64, 46