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how to find it is related to the opposite angle in a cyclic quadrilateral is equal to 180 degeres

How To Find It Is Related To The Opposite Angle In A Cyclic Quadrilateral Is Equal To 180 Degeres class=

Sagot :

JeanaShupp

Answer: The measure of ∠BEF=110°.

Step-by-step explanation:

Given: In cyclic quadrilateral ABCD, ∠C = 110°

Then, ∠A+∠C=180°  [The sum of opposite angles in a cyclic quadrilateral is 180 degrees.]

⇒ ∠A+ 110°=180°

⇒ ∠A = 180°  - 110°

⇒ ∠A = 70°

In cyclic quadrilateral ABEF,

∠A+∠E=180°   [The sum of opposite angles in a cyclic quadrilateral is 180 degrees.]

⇒ 70° + ∠E=180°

⇒∠E=110°

Hence, the measure of ∠BEF=110°.

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