Math, asked by saraomandy, 1 month ago

Find the value of x and y

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Answered by MasterDhruva
11

Solution :-

First, we should find the value of the angle marked as y. To find the value of y, we no need to calculate but we have a concept to find that. It's called as the 'vertically oppsite angle' property. This concept says that the angles opposite to each other when two lines intersect are equal. So

 \sf \leadsto \angle{y} = {90}^{\circ}

Now, we can find the value of angle marked x. To find the value of x, we use a concept called as the angle sum property. Each 2-dimensional shapes has it's own angle sum property. The angle sum property of the triangle says us that all the interior angles of the triangle adds up to 180°. So,

 \sf \leadsto \angle{x} + \angle{x} + \angle{y} = {180}^{\circ}

 \sf \leadsto \angle{x} + \angle{x} + {90}^{ \circ} = {180}^{\circ}

 \sf \leadsto 2x + {90}^{ \circ} = {180}^{\circ}

 \sf \leadsto 2x = 180 - 90

 \sf \leadsto 2x = 90

 \sf \leadsto x = \dfrac{90}{2}

 \sf \leadsto \angle{x} = {45}^{\circ}

Therefore, the measurements of angles x and y are 45° and 90° respectively.

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