Respuesta :
x = measure of one angle
5x - 13 = measure of other angle {one angle is 13 less than 5 times the other}
x + 5x - 13 = 140 {sum of the two angles is 140}
6x - 13 = 140 {combined like terms}
6x = 153 {added 13 to each side}
x = 25.5 {divided each side by 6}
5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}
The two angles are 25.5° and 114.5°
5x - 13 = measure of other angle {one angle is 13 less than 5 times the other}
x + 5x - 13 = 140 {sum of the two angles is 140}
6x - 13 = 140 {combined like terms}
6x = 153 {added 13 to each side}
x = 25.5 {divided each side by 6}
5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}
The two angles are 25.5° and 114.5°
Measures of the angles are [tex]25.5^{\circ},124.5^{\circ},30^{\circ}[/tex]
According to the angle sum property of a triangle, sum of all the angles is equal to [tex]\boldsymbol{180^{\circ}}[/tex]
Let the measure of another angle be [tex]x[/tex]
As the measure of one angle is thirteen less than five times the measure of another angle,
Measure of one angle [tex]=5x-13[/tex]
Sum of measures of the two angle [tex]=140^{\circ}[/tex]
[tex]x+5x-13=140^{\circ}[/tex]
[tex]6x=153[/tex]
[tex]x=25.5^{\circ}[/tex]
[tex]5x-3=5(25.5)-3[/tex]
[tex]=124.5^{\circ}[/tex]
Measure of the third angle [tex]=180^{\circ}-25.5^{\circ}-124.5^{\circ}[/tex]
[tex]=30^{\circ}[/tex]
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