Question

1. The ratio of the measures of the opposite angles of a cyclic quadrilateral is 2
Which of the following will be the measures of those angles ?
(1) 60°, 120° (2) 72°, 108° (3) 80°, 100° (4) 75°,105°​

Answer 1

Answer:

We have a theorem which says,

In a cyclic quadrilateral, Sum of the two opposite angles is equal to 180°.

using this,

1) is the right options as the two angles sum is 180 and also their ratio is 2.

* You also can solve it by algebra method considering one angle as x and so on, but as there are options so it's easy this way.

Hope it helps.

Mark Brainer.

Thanks.

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Teacher.