Answer:
Let the two angles of the triangle be $x$ and $y$. We know that $x+y=116^{\circ}$ and $x-y=24^{\circ}$.
We can solve this system of equations using the method of substitution. First, we add the equations to get:
$x+y+x-y=116^{\circ}+24^{\circ} \Rightarrow 2x=140^{\circ} \Rightarrow x=70^{\circ}$
Then, we substitute this value into one of the original equations to find the other angle:
$x+y=116^{\circ} \Rightarrow 70^{\circ}+y=116^{\circ} \Rightarrow y=46^{\circ}$
Therefore, the measures of the two angles of the triangle are $x=70^{\circ}$ and $y=46^{\circ}$.
let the given angle be x and y
Then according to first condition
x+y=116°-------1st equation
i.e x=116°-y
According to second condition
x-y=24°-------2nd equation
substituting the value of x from 1st equation in second equation,we get
116°-y-y=24°
-2y=24°-116°
-2y=-92°
y=46°
from 1st equation
x=116°-46°=70°
x=70°
Now, remaining angle of triangle be z(let)
z=180°-116°=64°
therefore the each angle of triangle are 70°,46°,64°respectively
Step-by-step explanation:
first u have to considered the angle as x,y,z respectively
then make a equation and solve
and find the remaining angle by sum of angle of triangle method..
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Answers & Comments
Answer:
Let the two angles of the triangle be $x$ and $y$. We know that $x+y=116^{\circ}$ and $x-y=24^{\circ}$.
We can solve this system of equations using the method of substitution. First, we add the equations to get:
$x+y+x-y=116^{\circ}+24^{\circ} \Rightarrow 2x=140^{\circ} \Rightarrow x=70^{\circ}$
Then, we substitute this value into one of the original equations to find the other angle:
$x+y=116^{\circ} \Rightarrow 70^{\circ}+y=116^{\circ} \Rightarrow y=46^{\circ}$
Therefore, the measures of the two angles of the triangle are $x=70^{\circ}$ and $y=46^{\circ}$.
Verified answer
Answer:
let the given angle be x and y
Then according to first condition
x+y=116°-------1st equation
i.e x=116°-y
According to second condition
x-y=24°-------2nd equation
substituting the value of x from 1st equation in second equation,we get
116°-y-y=24°
-2y=24°-116°
-2y=-92°
y=46°
from 1st equation
x=116°-46°=70°
x=70°
Now, remaining angle of triangle be z(let)
z=180°-116°=64°
therefore the each angle of triangle are 70°,46°,64°respectively
Step-by-step explanation:
first u have to considered the angle as x,y,z respectively
then make a equation and solve
and find the remaining angle by sum of angle of triangle method..