Answer :
Answer:
the first angle: 29
the second angle: 64
the third angle: 87
Step-by-step explanation:
the first angle: x
the second angle: x + 35
the third angle: 3x
the sum of all three angle is 180
we have the equation: x + (x+35) + 3x =180
5x+35=180
5x = 145
x = 29
Answer:
First angle =29
Second angle = 64
Third angle = 87
Step-by-step explanation:
First, we need to interpret this statement and write the mathematical form of the statement.
Let x, y, z equal to the first, second and third angle respectively.
The question says 'The second angle of a triangle is 35 more than the first angle'
This implies y = 35 + x
'The third angle is three times the first', this implies z =3x
Now, the sum of angles in a triangle is equal to 180°
This implies
x + y + z = 180° -------------------(1)
But y = 35 +x and z =3x
substituting y =35 and z=3x in equation (1), our equation becomes;
x + 35 + x + 3x = 180
we can rearrange this equation
x + 3x + x+ 35 = 180
5x + 35 = 180
subtract 35 from both-side of the equation
5x + 35 - 35 = 180 -35
5x = 145
Divide both-side by 5 to get the value of x
5x/5 = 145/5
x = 29
To find the value of z, recall that z = 3x
substitute x = 29 into z =3x thus;
z = 3(29)
z=87
but y= 35 + x
y = 35 + 29
y =64
x= 29, y =64 and z = 87
Therefore the first angle of the triangle is 29, the second angle of the triangle is 64 and the third angle of the triangle is 87