Question

find x in the following figue

Answer 1

HEY FRIEND HERE'S YOUR ANSWER

we know that angles opposite to equal sides are always equal. does angle ABO = angle BOA as they are opposite to equal sides BA and OA. Thus,
angle BOA = angle ABO = 3x + 10 °
Now, angles BOA and COD are vertically opposite angles. so,
angle COD = angle BOA = 3x + 10°

Again, angle COD must be equal to agle ODC as they are opposite to the equal sides CO and CD.
so, angle ODC = angle COD = 3x + 10 °

according to angle sum property, we know that, sum of all the angles in a triangle = 180 °
thus, For triangle OCD,
180° = angle COD +angle ODC +angle DCO
=> 3x + 10 °+ 3x + 10 ° + 2x° = 180°
=> 8x + 20° = 180°
=> 8x = 160°
=> x = 20°

HENCE, THE VALUE OF X IN THE GIVEN QUESTION IS 20°.

HOPE THIS HELPS U

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