Question

In the figure, EFGH is a quadrilateral. angle E = angle F = 90°, angle G= 120°. Is it a trapezium? Why? Find the
measure of angle H.
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Answer 1

Answer:

Yes , it is trapezium because in a trapezium opposite sides are parallal (these are FG and EH) and a height (that is EF).And angle H=60°.

Step-by-step explanation:

angle E + angle F + angle G + angle H =360°

so the angle is 60°

Answer 2

Answer:

yes,figure EFGH is a trapezium.∠H=60°

Step-by-step explanation:if EFGH is a trapezium then EH║ FG and EF is a transversal . so the sum of interior angles should be equal to 180°.clearly,

∠E+∠F=90°+90°=180°=sum of interior angles f transversal

∴EFGH is a trapezium

according to the angle sum property of quadrilaterals,the sum of all angles hold be equal to 360°

∴∠E+∠F+∠G+∠H=360°

90°+90°+120°+∠H=360°

300°+∠H=360°

∠H=360°-300°

∠H=60°