Question

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Answer 1

COA = 40

COB = AOD = 140

Step-by-step explanation:

COA = BOD

2x-10 = 40

x = 25

Then you can solve it

Hope it help you

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Answer 2

❒ Question :-

Observe the figure shown below and find the measures of all the angles.

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❒ Solution :-

In quadrilateral,

$\purple⇝ \large\colorbox{yellow}{ \bf Sum of all angles = 360°}$

So,

$\red⇢ \: \bf 6x-10°+40° + 5x+15°+2x-10°=360°$

$\red⇢ \: \bf 13x + 35°=360°$

$\red⇢ \: \bf 13x =360° - 35°$

$\red⇢ \: \bf 13x =325°$

$\displaystyle\red⇢ \: \bf x = \cancel\frac{325°}{13}$

$\displaystyle\purple⇢ \: </strong>\large<strong> \colorbox{red}{ \bf x = 25°}$

∴ First angle = 6x-10° = 6×25-10° = 140°

∴ Second angle = 40°

∴ Third angle = 5x+15° = 5×25+15° = 140°

∴ Fourth angle = 2x-10° = 2×25-10° = 40°

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❒ Verification :-

$\purple⇝ \bf Sum \: of \: all \: angles = 360°$

$\red⇢ \: \bf 140° +40° + 140° + 40° =360°$

$\red⇢ \: \bf 360° =360°$

Hence, proved !

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