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Vesnalui [34]
3 years ago
6

F ∠A is 95° and ∠B is 105°, what is ∠C? A) 75° B) 85° C) 95° D) 105°

Mathematics
2 answers:
Jobisdone [24]3 years ago
6 0

The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.

Answer:

B) 85°

Step-by-step explanation:

Given:

A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.

For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°

Therefore, sum of angles A and C is 180°.

\angle A + \angle C=180\°\\95\°+\angle C=180\°\\\angle C=180-95\\\angle C =85\°

Therefore, the correct option is option B) 85°

jarptica [38.1K]3 years ago
4 0

Answer:

A)75

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠B + ∠D = 180°

105° + ∠D = 180°

∠D = 75°

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