If three angles of a quadrilateral are each equal to 75 degrees, then the fourth angle is what degrees.
Answers
Answer:
1 Answer. We know that, sum of all the 1 angles of a quadrilateral is 360°. Hence, the fourth angle of a quadrilateral is 120°.
Step-by-step explanation:
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Given : Three angles of a quadrilateral are each equal to 75 degrees
To find : The fourth angle of the quadrilateral.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the fourth angle of the quadrilateral)
Now, we know that :
Sum of four angles of a quadrilateral = 360°
So,
The fourth angle of the quadrilateral :
= Sum of four angles of a quadrilateral - (First angle of the quadrilateral + Second angle of the quadrilateral + Third angle of the quadrilateral)
= 360° - (75° + 75° + 75°)
= 360° - 225°
= 135°
(This will be considered as the final result.)
Hence, the fourth angle is 135°