Question

Question 9
दो प्रतिच्छेदी रेखाओं द्वारा बनाए गए कोणों में से तीन
कोणों का योग 240 है। तीसरा
कोण का माप क्या होगा?
Out of the angles formed by two intersecting
lines, the sum of the three angles is 240. What
will be the measure of the fourth angle?​

Answer 1

Answer:

• The measure of the fourth angle is 120°.

Step-by-step explanation:

Let us assume:

1. First angle = A
2. Second angle = B
3. Third angle = C
4. Fourth angle = D

Given that:

The sum of the three angles is 240°.

• A + B + C = 240°

To Find:

• What will be the measure of the fourth angle?

We know that:

• Angle substended by two intersecting lines = 360°

Finding the measure of the fourth angle:

⟶ A + B + C + D = 360°

⟶ 240° + D = 360°

⟶ D = 360° - 240°

⟶ D = 120°

∴ The measure of the fourth angle = 120°

Answer 2

Answer:

Given :-

Sum of three angle = 240

To Find :-

Fourth angle

Solution :-

We already know that sum of all angles in a Quadrilateral is 360⁰.

And sum of three angle is 240

Let the angle be y

$\sf240 + y = 360$

$\sf \: y = 360 - 240$

$\sf \: y = 120$

The fourth angle measure 120