Find the value of x in the following figures
Attachments:
Answers
Answered by
0
Answer:
3x - 17 + x + 40 + 2x - 5 = 180(sum of triangle is 180°)
3x + x + 2x -17 + 40 - 5 = 180
6x + 18 = 180
6x = 180 - 18
x= 162/6
x = 27
answer is 27 hope that helps make me brainleist
Answered by
1
x = 27°
Step-by-step explanation:
GIVEN
M = 3x - 17°
N = x + 40°
O = 2x - 5°
___________________________
TO FIND
x
___________________________
We know that,
Sum of all interior angles of a triangle is 180°
M + N + O = 180° ( Interior Angles Of A Triangle )
3x - 17°+ x + 40° + 2x - 5° = 180°
3x + x + 2x - 17° + 40° - 5° = 180°
6x + 18° = 180°
6x = 180 - 18
6x = 162
x = 162 / 6
x = 27
x = 27°
___________________________
Let's check the value of x = 27°
M = 3x - 17°
M = 3 × 27 - 17
M = 81 - 17
M = 64
M = 64°
N = x + 40°
N = 27 + 40
N = 67
N = 67°
O = 2x - 5°
O = 2 × 27 - 5
O = 54 - 5
O = 49
O = 49°
We know that,
Sum of all interior angles of a triangle is 180°
M + N + O = 180° ( Interior Angles Of A Triangle )
64° + 67° + 49° = 180°
18°0 = 180°
x = 27°
Similar questions