Solution:-

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Here in the question we are given that two angles forming a LINEAR pair are in the ratio of 3:7. Now, the question has asked us to find out those 2 angles. So, to find the angles follow the steps shown below.

ANSWER:-

⬤ 1ST angle = 54°

⬤ 2nd angle = 126°

GIVEN:-

⟼ 1st angle = 3x

⟼ 2nd angle = 7x

TO FIND:-

⟿ 1st angle = ?

⟿ 2nd angle = ?

ALGORITHM USED:-

➜ Linear pair:- Angles formed when two lines intersect. Their sum is equal to 180°.

➜ Supplementary angle:- The sum of two angles = 180°

➜ Linear pair can SAID to be supplementary.

➜ So, In the question we used linear pair axiom i.e, the sum of given angles will be equal to 180°

➜ Considering the angle 1 be 3x and angle 2 be 7x respectively.

SOLVING BY APPLYING THE FORMULA:-

⟼ 1st angle = 3x

⟼ 2nd angle = 7x

• Finding the angles:-

We know that the sum of a linear pair is 180°.

So,

➜ 3x + 7x = 180°

Adding the terms:- 3x + 7x = 10x

So,

➜ 10x = 180°

Taking 10 to R.H.S.

So,

➜ x = 180° / 10

Remainder after dividing 180° / 10 is 18°.

So,

➜ x = 18°

• Angles:-

➜ 1st angle = 3x

3x = 3 × 18

= 54°

Angle 1 = 54°

➜ 2nd angle = 7x

7x = 7 × 18

= 126°

Angle 2 = 126°.

VERIFICATION:-

➜ 54° + 126°

➜ 54° + 126° = 180°

➜ 180°

∴ L.H.S = R.H.S

Hence, verifed.

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