Question

three angle of a quadrilateral measure 68° , 95° and 133° . Find the measure of the fourth angle​

Answer 1

Given, measure of three angle of a quadrilateral 68° , 95° and 133°.

We have to find, the measure of fourth angle.

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We know that,

Sum of all angles of a quadrilateral is 360°.

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☯ Let angles of quadrilateral be $\sf \angle A , \angle B , \angle C \; and \; \angle D$.

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Therefore,

$:\implies\sf 68^\circ + 95^\circ + 133^\circ + \angle D = 360^\circ$

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$:\implies\sf 163^\circ + 133^\circ + \angle D = 360^\circ$

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$:\implies\sf 296^\circ + \angle D = 360^\circ$

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$:\implies\sf \angle D = 360^\circ - 296^\circ$

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$:\implies{\underline{\boxed{\frak{\pink{ \angle D = 64^\circ}}}}}\;\bigstar$

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$\therefore\;{\underline{\sf{Measure\;of\;Fourth\;angle\;of\; quadrilateral\;is\;64^\circ}}}$

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QUADRILATERAL

• A quadrilateral is a polygon with four edges and four vertices.

• It can be regular or irregular.

• Sum of all the interior angles of a quadrilateral is 360°.

• The word quadrilateral is originated from two Latin words quadri which means “four” and, latus meaning “side”.

Answer 2

Answer:

Step-by-step explanation: