Question

the difference in the measures of two consecutive angles is 12°. find the measure of the angle.​

Answer 1

=Let one angle of a triangle be x

= second angle will be x+12

= Third angle will be x+ 48

= By using theorem sum of interior angle of a triangle is 180°

= Angle A + Angle B + Angle C = 180

= x+x+12+ x +48 = 180

= 3x + 12+ 48 =180

= 3x +60 =180

= 3x =180 - 60

= 3x = 120

= x = 120/3

=x = 40

=Angle B

= x+12

= 40 +12

= 52

=Angle C

= x+ 48

= 40+48

= 88

= Angle are 40, 52 , 88

hope it help