Question

In a pentagon the measure of 4 angles are 2x°,3x°,4x°,5x° and the fifth angle measures 120°.find all the angles?​

Can anyone planning help I really need help!!

Answer 1

Given:

A pentagon with one of the angle measuring 120°

To find:

The measure of rest of the angles (2x,3x,4x&5x)

Solution:

We know that the measure of sum of all the angles in a pentagon = 540°

.°.

• 120°+2x+3x+4x+5x = 540°
• 120°+14x= 540°
• 120°-120°+14x = 540°-120°
• 14x = 420°
• x = 420°/14
• x=30

.°.

2x

`2x = 2 * 30 = 60`

3x

`3x = 3 * 30 = 90`

4x

`4x = 4 * 30 = 120`

5x

`5x = 5 * 30 = 150`

Hope it helps

-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀

Answer 2

`\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}`

Angles of Pentagon are :

• 60°

• 90°

• 120°

• 150°

• 120°

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`\mathrm{ ☠ \: TeeNForeveR \:☠ }`