Math, asked by 17E010121, 4 days ago

please send me the answer​

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Answers

Answered by tennetiraj86
2

Step-by-step explanation:

Solution :-

Figure -1:-

Interior angles are x° and 80°

Exterior angle = 125°

We know that

In a triangle,one side is extended then

The exterior angle is equal to the sum of the opposite interior angles

=> 125° = x° +80°

=> x° = 125° - 80°

=> x° = 45°

The value of x° = 45°

Figure -2:-

Interior angles are x° and 60°

Exterior angle = 110°

We know that

In a triangle,one side is extended then

The exterior angle is equal to the sum of the opposite interior angles

=> 110° = x° +60°

=> x° = 110° - 60°

=> x° = 50°

The value of x° = 50°

Figure -3:-

Interior angles are x° and 30°

Exterior angle = 105°

We know that

In a triangle,one side is extended then

The exterior angle is equal to the sum of the opposite interior angles

=> 105° = x° +30°

=> x° = 105° - 30°

=> x° = 75°

The value of x° = 75°

Figure -4:-

Interior angles are x° and 50°

Exterior angle = 130°

We know that

In a triangle,one side is extended then

The exterior angle is equal to the sum of the opposite interior angles

=> 130° = x° +50°

=> x° = 130° - 50°

=> x° = 80°

The value of x° = 80°

Figure -5:-

Interior angles are x° and 25°

Exterior angle = 80°

We know that

In a triangle,one side is extended then

The exterior angle is equal to the sum of the opposite interior angles

=> 80° = x° +25°

=> x° = 80° - 25°

=> x° = 55°

The value of x° = 55°

Figure-6:-

Interior angles are x° and 60°

Exterior angle = 125°

We know that

In a triangle,one side is extended then The exterior angle is equal to the sum of the opposite interior angles

=> 125° = x° +60°

=> x° = 125° - 60°

=> x° = 65°

The value of x° = 65°

Used formulae:-

→In a triangle,one side is extended then The exterior angle is equal to the sum of the opposite interior angles.

Answered by shivasinghmohan629
0

Step-by-step explanation:

ans 1. Solution:

We know,

Sum of all interior angles of quadrilateral is 360°

So,

90° +80° + 125° + x° = 360°

→ 295° + x° = 360°

→X° = 360° - 295°

X = 65°

Verification:

90° +80° + 125° + x° = 360°

Put x = 65°

90° +80° + 125° + 65° = 360°

→ 295° + 65° = 360°

→ 360° = 360°

ans 2.

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