4. The angles of a quadrilateral are 90°, 80°, 125° and x'. Find the value of x.
Answers
Answered by
2
Answer:
The value of x is 65°
Step-by-step explanation:
Sum of all the angles of a quadrilateral = 360°
∴ 90° + 80° + 125° + x = 360°
∴ 295° + x = 360°
∴ x = 360° - 295°
∴ x = 65°
Answered by
14
- Value is x is 65°.
Step-by-step explanation:
Given:-
- Angles of quadrilateral are 90°, 80°, 125° and x°.
To find:-
- Value of x.
Solution:-
We know,
Sum of all interior angles of quadrilateral is 360°.
So,
90° + 80° + 125° + x° = 360°
295° + x° = 360°
x° = 360° - 295°
Verification:-
90° + 80° + 125° + x° = 360°
- Put x = 65°
90° + 80° + 125° + 65° = 360°
295° + 65° = 360°
360° = 360°
Therefore,
Value of x is 65°.
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Let's Read more about quadrilaterals:-
Quadrilateral are those figures which have four sides.
For example :-
- Rhombus - It's all sides are equal and it's diagonal bisect each other.
- Rectangle - It's opposite sides are equal and parallel.
- Parallelogram - It's opposite angles and sides are equal and parallel.
- Square - It's all sides are equal and parallel.
- Trapezium - It's one pair of opposite sides are parallel.
- Kite - It's two pair of adjacent sides are equal and Diagonals are perpendicular to each other.
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