In a ||gm if, one angle is 90 degree then find the other 3 angles
Answers
Answer:
Question
In a parallelogram if, one angle is 90 degrees then find the other 3 angles
concept
Here the concept of property of parallelogram is used.
Answer
‣ Consider a parallelogram ABCD where ∠A =90 degrees.
We know that,
✞The opposite sides of a parallelogram are equal.
so ∠C =90 degrees
✞ The angles on the same side of the transversal are supplementary, which means they add up to 180 degrees.
so ∠A+ ∠B= 180 Degrees. Similarly ∠C+∠D =180 Degrees
Both ∠B and ∠D are 90 Degrees.
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FACTS!
- Number of sides = 4
- Number of vertices = 4
- Mutually Parallel sides = 2 (in pair)
- Area = Base x Height
- Perimeter = 2 (Sum of adjacent sides length)
- Type of polygon = Quadrilateral
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Answer:
L A = LC by oposite angles
so angle Aand angle C=180°
Step-by-step explanation:
so angle B and Angle D =180°
angle A + angle B =180°
90+B=180°
B=180-90=90°
angle C+ angle D=180°
90+D=180°
D=180-90=90
angle a and b =180
angle C and D=180