Question

in a cyclic quadrilateral xyzw , angle x: angle z = 7:8 then find z​

Answer 1

Answer:

z=96

Step-by-step explanation:

in a cyclic quadrilateral, the opposite sides sum up to 180.

therefore 7x+8x=180

15x=180

x=12

so, z=8x=8(12)=96

Answer 2

Answer:

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.So, we have ratios of angle x and z and it is opposite to each other.

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.So, we have ratios of angle x and z and it is opposite to each other.Therefore, the equation is :

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.So, we have ratios of angle x and z and it is opposite to each other.Therefore, the equation is :7x+8x=180⁰

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.So, we have ratios of angle x and z and it is opposite to each other.Therefore, the equation is :7x+8x=180⁰ 15x=180⁰

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.So, we have ratios of angle x and z and it is opposite to each other.Therefore, the equation is :7x+8x=180⁰ 15x=180⁰{x=12}

In a cyclic quadrilateral xyzx opposite sides sum is upto greater than 180⁰ or equal to 180⁰.So, we have ratios of angle x and z and it is opposite to each other.Therefore, the equation is :7x+8x=180⁰ 15x=180⁰{x=12} So, putting the value in eq. are as follows

Z=8x

=8x12

=96

#96 is your require answer

Step-by-step explanation:

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