ratio of two linear angle are 7:5 . find the angles .
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Given
To find
Solution
Let the two linear angles be 7x and 5x.
As we know,
Sum of the linear angles = 180°
⟼ 7x + 5x = 180°
⟼ 12x = 180°
⟼ x = 180°/12
⟼ x = 15°
The value of x = 15°
The two linear angles :-
_______________________________
Let's verify :-
As we know, the sum of linear angles is equal to 180°. So, we will add both the angles and if their sum is equal to 180° then their values are right.
Put the value of x in eqn. 7x + 5x = 180°
• Taking LHS
⟼ 7 × 15° + 5 × 15°
⟼ 105° + 75°
⟼ 180°
LHS = RHS
Hence, verified.
Verified answer
Answer:
Ratio of two linear angles = 7:5
We already know that sum of two linear pair angles is 180°
So, Let the actual angles be multiplied by x
⇒ 7x + 5x = 180°
⇒ 12x = 180°
⇒ x° = 180°/12
⇒ x° = 15°
And now,
7(15) + 5(15) = 180°
⇒ 105° + 75° = 180°
∴ The angles are 105° and 75° respectively.
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