in cyclic quadrilateral ABCD , angle B =75° , then find angle D
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Answered by
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Answer:
as cyclic quadrilaterals opposite angles are supplementary , this angle b +angle d =180°.75°+angle d=180°.therefore angled=180°-75°=105°
Step-by-step explanation:
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Answered by
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Given:
Angle B=75°
To find:
Angle D
Solution:
The required measure of the angle is 105°.
We know that the given quadrilateral is cyclic.
So, the opposite angles are each other's supplement.
Angle A+angle C=180°
Angle B+angle D=180°
We can obtain the required measure by subtracting the given angle from 180°.
Using the values, we get
75°+angle D=180°
Angle D=180°-75°
Angle D=105°
Therefore, the required measure of the angle is 105°.
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