Parealelograms, Find the value of X

Question

asked Aug 19, 2023 162k views

1 Answer

Sydlawrence · Answer 1 · 2023-08-23T11:41:58+0000

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The given figure is that of a Parallelogram ~ therefore its obvious that it's opposite sides are parallel to each other.

And here, two adjacent angles are made between the transversal and the opposite parallel sides respectively.

Hence they can be said to be a pair of co - interior angles.

$\qquad \sf  \dashrightarrow \: 110 + 3x + 7 = 180$

[ sum of two co - interior angles = 180° , note : the values above are in degree ]

$\qquad \sf  \dashrightarrow \: 3x + 117 = 180$

$\qquad \sf  \dashrightarrow \: 3x = 180 - 117$

$\qquad \sf  \dashrightarrow \: 3x = 63$

$\qquad \sf  \dashrightarrow \: x = 63 / 3$

$\qquad \sf  \dashrightarrow \: x = 21 \degree$

Therefore, the value of x = 21°