14) Find value of x for which (2x + 5)º and (x + 25)° are supplementary angles.
TOR]
Answers
Given :
- Angles are (2x + 5)° &
- (x + 25)°
To find :
- The value of x
According to the question,
→ 2x + 5° + x + 25° = 180°
[ Reason : Supplementary angle ]
→ 3x + 30° = 180°
→ 3x = 180° - 30°
→ 3x = 150°
→ x = 150° ÷ 3
.°. x = 50°
So,the value of x is 50°...
________....
Verification :
→ 2x + 5° + x + 25° = 180°
→ 3x + 30° = 180°
Putting the value of x
→ 3 × 50° + 30° = 180°
→ 150° + 30° = 180°
→ 180° = 180°
.°. L.H.S = R.H.S
Hence,Verified...
Answer:
Angles (2x + 5)° and (x + 25)° are provided.
To locate
The value x.
The answer to the query is
→ 2x + 5° + x + 25° = 180°
[Reason: Additional Angle]
⇒ 3x + 30° = 180°
→ 3x = 180° - 30°
→ 3x = 150°
→ x = 150° ÷ 3
.°. x = 50°
Therefore, x has a value of 50°.
....
Verification: 180° is equal to 2x + 5° + x + 25°.
⇒ 3x + 30° = 180°
x being set to a value
⇒ 3 × 50° + 30° = 180°
→ 150° + 30° = 180°
→ 180° = 180°
L.H.S. = R.H.S.
Hence,Verified...
Step-by-step explanation:
When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are said to be supplementary.
The angles' measurements add up to 180° since they are complementary. To put it another way, 2x+(2x-2)=180. This equation can be solved to obtain the value for x.
#SPJ3