Question

two angles in a quadrilateral are 60° and the other two angles are equal what is the measure of each of these two angles

Answer 1

Let the unknown angles be x

x+x+60°+60°=360° [Angle Sum Property of Quadrilateral]

2x+120°=360°

2[x+60°]=360°

x+60°=180°

x=120°

Therefore, the unknown angles are 120°.

Answer 2

Sum of all the angles of a quadrilateral = 360°
Measure of two of the angles of a quadrilateral = 60° + 60° = 120°
The other two remaining angles are equal
Let the other two remaining angles be 2x
Measure of the remaining angles
=) (360° - 120°) = 240°
=) 2x = 240°
=) x = 240/2 = 120°

=) 60° + 60° + 120° + 120° = 360°

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