Geometry Quests By Skanda - 7

Geometry Level 1

In the given fig.

A parallelogram is enclosed within a quadrilateral.

Using the given elements of the fig,

Determine, angle 'x'


The answer is 97.

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Skanda Prasad by Skanda Prasad , 20, India

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3 solutions

48 + 49 + y = 180 ; y = 103 since x + y = 180 therefore x 97

1 Helpful 0 Interesting 0 Brilliant 0 Confused

48+49+y=180; y= 83 .since x+y=180; x+83=180; x= 97

Muhammad Al-Rajimul Raju - 6 years, 2 months ago

y = 180 − 49 − 48 = 83 y=180-49-48=83

The sum of the interior angles of a parallelogram is 36 0 ∘ 360^\circ , so

2 x + 2 y = 360 2x+2y=360

2 x + 2 ( 83 ) = 360 2x+2(83)=360

2 x = 194 2x=194

x = 97 \boxed{x=97}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

49+48+x=180

x+y=180

y=48+49=97

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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