Question

Find all the angles of parallelogram ABCD if/_A is two third of a right angle​

Answer 1

Answer:

Given:

• ∠A is two third of a right angle.

To Find:

• What is the meaure of all angles ?

Solution: Let ABCD be a parallelogram and measure of ∠B is x°.

• ∠A = ∠C (Opposite ∠s of ||gm are equal)
• ∠B = ∠D = x (Opposite angles equal)
• AB || DC and AD || BC (Opposite sides of ||gm are parallel)

Now, ∠A is the 2/3 times of right angle.

➨ ∠A = 2/3  90

➨ ∠A = 2  30 = 60°

So, ∠A = ∠C = 60°

As we know that

★ Sum of all angles of ||gm = 360° ★

∠A + ∠B + ∠C + ∠D = 360°

60° + x° + 60° + x° = 360°

120° + 2x° = 360°

2x° = 360° – 120°

x = 240°/2

x = 120°

Hence,

➮ ∠B = ∠D = x = 120° ( Each )

So final values of all angles are

• ∠A = 60°

• ∠B = 120°

• ∠C = 60°

• ∠D = 120°

Step-by-step explanation:

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