Question

If one of the angle of a quadrilateral is 120° and the remaining three angles are are equal,
then find the measure of each angle?​

Answer 1

Answer:

80 degree answer

Step-by-step explanation:

let the other angles be X. 3x + 120 = 360. x = 80 degree answer

Answer 2

Given:

• Measure of one angle of the quadrilateral = 120°
• The remaining three angles are equal.

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To find:

• Measure of each angle of the quadrilateral.

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Solution:

Let one of the unknown angle of the quadrilateral be a.

☆Using Angle Sum Property (ASP) of quadrilateral (360°):

a° + a° + a° + 120° = 360° $\:$ $\:$[Three angles are equal. : GIVEN]

3a°+120° = 360°

3a° = 360°-120°

3a° = 240°

$\sf{a \degree = \dfrac{240\degree}{3}}$

$\boxed {\bf {\orange {a \degree = 80 \degree }}}$

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Measure of angles:

• 1st angle = a° = 80°
• 2nd angle = a° = 80°
• 3rd angle = a° = 80°
• 4th angle = 120°