Question

in cyclic quadrilateral ABCD , angle B =75° , then find angle D​

Answer 1

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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Answer 2

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°.