Question

how to find the angle of parellelogram?​

Answer 1

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A parallelogram is a flat 2d shape which has four angles. The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees.

Answer 2

Question:

how to find the angle of parallelogram?​

Given:

In parallelogram ABCD

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1,1)(1,1)(6,1)\put(0.4,0.5){\bf D}\qbezier(1,1)(1,1)(1.6,4)\put(6.2,0.5){\bf C}\qbezier(1.6,4)(1.6,4)(6.6,4)\put(1,4){\bf A}\qbezier(6,1)(6,1)(6.6,4)\put(6.9,3.8){\bf B}\end{picture}$

 

To Prove:

• ∠A =∠C

• ∠B=∠D

Theorem Used:

• Opposite angles of a parallelogram are equal

• Angles adjacent in a parallelogram are supplementary

Solution:

• In parallelogram ABCD

Let ∠A = x

∠A = ∠C = x ( Since Opposite angles of a parallelogram are equal)

∠A +∠B = 180° ( Since Adjacent angles of a parallelogram are supplementary )

∠A +∠B = 180°

x+∠B = 180°

∠B = 180- x

∠B = ∠D = 180 - x ( Since Opposite angles of a parallelogram are equal)

Therefore the angles are  :

∠A = x

∠B = 180 - x

∠C = x

∠D = 180 - x

For extra information refer to:1)  https://brainly.in/question/35375116

2) brainly.in/question/22395431

Prove that in a parallelogram, opposite sides are equal.​-brainly.in/question/14945970

Sum of all angles of a quadrilateral = 360- brainly.in/question/4910647