in the given figure find x ( 2x + 15 ) ( x + 10 ) (3x + 5 ) be fast I will mark you as BRANILIEST
Answers
Answer:
x = 25
Step-by-step explanation:
2x + 15 + x + 10 + 3x + 5 = 180 (Angle Sum Property)
6x + 30 = 180
6x = 150
x = 25
Given :- In ∆ABC ,
- ∠A = (x + 10)°
- ∠B = (3x + 5)°
- ∠C = (2x + 15)°
To Find :- Value of x .
Concept used :-
- Angle sum property of a triangle :- Sum of all three angles of a triangle is equal to 180° .
Solution :-
→ ∠A + ∠B + ∠C = 180° { By angle sum property. }
putting given values,
→ (x + 10)° + (3x + 5)° + (2x + 15)° = 180°
→ x + 3x + 2x + 10° + 5° + 15° = 180°
→ 6x + 30° = 180°
→ 6x = 180° - 30°
→ 6x = 150°
→ 6x = 6° × 25°
dividing both sides by 6,
→ x = 25° (Ans.)
Hence, value of x is equal to 25° .
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