Question

In parallelogram EFGH , angle H=73. Find the measure of the interior angles of the parallelogram.​

Answer 1

Answer:

E=107,F=73,G=107

Step-by-step explanation:

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Answer 2

The remaining angles of parallelogram EFGH are 107°, 107°, 73°

Given:

In parallelogram EFGH, and angle H = 73

To find:

The measure of the interior angles of the parallelogram.​

Solution:

Given EFGH is parallelogram  

As we know opposite angles in a parallelogram are equal

So, In parallelogram EFGH

∠ E = ∠G  and ∠ F = ∠ H  

From given data,

∠ H = ∠ F = 73°

Let ∠ E = ∠G = x°

As we know sum of interior angles in parallelogram = 360°

⇒ ∠ E + ∠G + ∠ F + ∠ H = 360°

⇒ x° + x° + 73° + 73° = 360°

⇒ 2x° + 146° = 360°

⇒ 2x° = 360°- 146°

⇒ 2x° = 214°

⇒ x° = 107°

∠ E = ∠G = 107°

Therefore,

The remaining angles of parallelogram EFGH are 107°, 107°, 73°

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