Question

The sum of two angle of a triangle is 116 and their differences is 24.Find the measure of each angle of the triangle​

Answer 1

Answer:

ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇs ᴏғ ᴛʀɪᴀɴɢʟᴇ ʙᴇ x°, y° and z°

x+ y= 116( given) - 1.

x- y= 24(given)- 2.

(x°+y°)+z°= 180° [angle sum property]

116+z°=180

z° = 180-116= 64°

Adding equation 1 &2 we get,

x+y=116

(+) x-y= 24

_________

2x= 140

x= 70°

putting value of angle x in any of the equation we get the value of y which 46°.

hence the angle of triangle is 46°, 64°, and 70°.