Math, asked by Prosnipzz, 1 month ago

need step by step answer, ,

spam = your 30 answers get reported​

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Answered by MasterDhruva
9

How to do :-

Here, we are given with a figure in which there are two lines passing through each other at a point. It's known as an interesting lines. The measures of x and y when written in ratio format is 3:7. We can see that angle x and the angle y together forms a linear pair of angles Linear pairs means, whose angle's non-common ray forms 180°. So, we can find the value of x and y. Then, the value of a and z can be found through the concept of vertically opposite angles.

\:

Solution :-

{\tt \leadsto {180}^{\circ} = 3:7}

{\tt \leadsto {180}^{\circ} = 3x + 7x}

{\tt \leadsto {180}^{\circ} = 10x}

{\tt \leadsto x = \cancel \dfrac{180}{10} = 18}

\:

Now,

Value of x :-

{\tt \leadsto 18 \times 3}

{\tt \leadsto \orange{\boxed{\tt x = {54}^{\circ}}}}

Value of y :-

{\tt \leadsto 18 \times 7}

{\tt \leadsto \orange{\boxed{\tt y = {126}^{\circ}}}}

Value of z :-

The vertically opposite angles are equal to each other. So, it measures same as it's opposite angle.

{\tt \leadsto \orange{\boxed{\tt z =  {54}^{\circ}}}}

Value of a :-

The vertically opposite angles are equal to each other. So, it measures same as it's opposite angle.

{\tt \leadsto \orange{\boxed{\tt a = {126}^{\circ}}}}

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Answered by rekhamakale1180
1

Answer:

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Step-by-step explanation:

ok

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