Question

7) 4 angles of a pentagon are equal measure, remaining angle 120 degrees,
find the value of each equal angles.​

Answer 1

Answer:

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Step-by-step explanation:

A pentagon is a five sided polygon. In a regular pentagon all interior angles are equal. However, the one in consideration is an irregular polygon.

Let's approach it intuitively.

The sum of the exterior angles of a polygon is always equal to 360°.

So each exterior angle will be 360°/5 = 72°. And each interior angle will be (180 - 72)° = 108°.

The sum of the interior angles in pentagon = 108° × 5 = 540°.

Two angles are 150° and 120° and they add upto 270°.

The remaining angles for the rest is (540 - 270)° = 270°.

Each of three angles = 90°.

This could have been arrived by using formula too provided one remembers it.

Verification: 90° + 90° + 90° + 120° + 150° = 540°

Answer 2

• 105 degree
• Step-by-step explanation is available in another website