find the value of x and the other two angles of the triangle . angle 1 is x angle 2 is 3x+7 and angle 3 is 2x - 19 remember the sum of total angles of a triangle is 180 degree plz tell me fast urgent
plz fast
Answers
__________________________
Given :-
• 3 angles of a triangle as x, (3x+7), (2x-19)
To Find :-
• All angles of the triangle
__________________________
As we know that sum of all angles of a triangle is 180°
Then,
x + (3x+7) + (2x-19) = 180°
= = > x + 3x + 7 + 2x - 19 = 180
= = > 6x - 12 = 180
= = > 6x = 180 + 12
= = > 6x = 192
= = > x = 192/6
= = > x = 32
= = > 3x + 7 => 3(32) + 7 => 96 + 7 => 103
= = > 2x - 19 = 2(32) - 19 => 64 - 19 => 45
Question :-
Find the value of x and the other two angles of the triangle. ∠1 is x, ∠2 is (3x + 7)° and ∠3 is (2x - 19)°.
_____________________
Given :-
• Three angles of a triangle as x°, (3x + 7)° and (2x - 19)°.
To Find :-
• Value of x and other angles of the triangle.
_____________________
Answer :-
We know that sum of angles of a triangle is 180°.
Then,
x + (3x + 7) + (2x - 19) = 180
➪ x + 3x + 7 + 2x - 19 = 180
➪ 6x - 12 = 180
➪ 6x = 180 + 12
➪ 6x = 192
➪ x = 192/6
➪ x = 32°
Put the value of x in the angles.
• x 32°
• 3x + 7 3(32) + 7 96 + 7 103°
• 2x - 19 2(32) - 19 64 - 19 45°
Hence, all angles of the traingle are 32°, 103°, 45° respectively.