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Answers
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.
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.