The angles of a triangle are x, x+8 and x +10 , Find the value of x.
a. 54
b. 45
c. 162
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Answers
Answered by
21
Answer:
(a) 54
Step-by-step explanation:
x + x+8 +x+10 = 180
3x+ 18 = 180
3x = 162
x = 162/3
x= 54
Answered by
39
- Value of x is 54°
Step-by-step explanation:
To find:-
- Value of x.
Solution:-
Given that,
Angles of triangle are x, x + 8, x + 10.
We know that,
Sum of all interior angles of triangle is equal to 180°. This statement is know as 'Angle sum property of triangle'.
So,
➝ x + x + 8 + x + 10 = 180°
➝ 3x + 18 = 180°
➝ 3x = 180° - 18
➝ 3x = 162°
➝ x = 162°/3
➝ x = 54°
Verification:-
➝ x + x + 8 + x + 10 = 180°.
➝ 54° + 54° + 8 + 54° + 10 = 180°
➝ 54 + 62° + 64° = 180°
➝ 180° = 180°
Hence, Verified!
Therefore,
Value of x is 54°.
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