2 answers:
Answer:
x = 50°
Step-by-step explanation:
Angles in a quadrilateral add to 360°
First work out the interior missing angle
360° - ( 40° + 80° + 110° ) = 130°
Angles on a straight line add to 180° so
180° - 130° = 50°
<h3>HELLO</h3>
<u><em>This is neha to help you with</em></u>
<em />
<u>The given figure is a quadrilateral</u>
<h3><u>We know that the sum of angles of a quadrilateral is 360°</u></h3><h3><u>let the missing angle inside the quadrilateral be Y</u></h3>
<em>40°+80°+110°+y= 360</em>
<em>230°+y=360°</em>
<em>y=360°-230°</em>
<em>y=130°</em>
<u>now we have to find the value of x</u>
<em>x+ y= 180° (reason:- angles on a straight line add ups to 180°)</em>
<em>substitute the value of y</em>
<em>x+130°=180°</em>
<em>y= 180°-130°</em>
<em>y= 50°</em>
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