if the measures of the three angles of a triangle are (3x+15) (5x???15)&(2x+30) what is the measure of each angle in degrees?
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we know that sum of angles in a triangle is 180°
so,
let a = 3x +15
b= 5x +15
c = 2x +30
so a+b+c = 180°
3x+15+5x+15+2x+30 =180°
10x =180 -60
10x =120
x= 12
so, a=3*12+15 = 36+15 =51°
b=5*12+15 =60+15=75°
c= 2*12 +30 = 24+30 =54
so,
let a = 3x +15
b= 5x +15
c = 2x +30
so a+b+c = 180°
3x+15+5x+15+2x+30 =180°
10x =180 -60
10x =120
x= 12
so, a=3*12+15 = 36+15 =51°
b=5*12+15 =60+15=75°
c= 2*12 +30 = 24+30 =54
Answered by
0
3x+15+5x+15+2x+30=180
(sum of measures of all angles of triangle is 180)
10x+60=180
10x+180-60
10x=120
x=120/10
x=12
(3x+15)=3*12+15
=36+15
=51
(5x+15)=5*12+15
=60+15
=75
(2x+30)=2*12+30
24+30
=54
angles are 51, 75, 54
(sum of measures of all angles of triangle is 180)
10x+60=180
10x+180-60
10x=120
x=120/10
x=12
(3x+15)=3*12+15
=36+15
=51
(5x+15)=5*12+15
=60+15
=75
(2x+30)=2*12+30
24+30
=54
angles are 51, 75, 54
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