Question

A quadrilateral has three acute
angle measuring 40°, 70 $ 80° Find the meansure of fourth
angle​

Answer 1

Answer:

170

$sum \: of \: all \: angles = 360 \: degree \\ sum \: of \: given \: angle = 40 + 70 + 80 \\ 190degree \\ fourth \: angle \: is \: 360 - 190 \\ 170degree$

Answer 2

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A quadrilateral has 3 acute angles measuring 40°, 70° and 80°. Find the measure of the fourth angle.

$\huge\mathcal{\fcolorbox{cyan}{black}{\pink{Answer}}}$

Angle Sum Property of a quadrilateral = 360°

Let the fourth angle be 'x'

40° + 70° + 80° + x = 360°

x + 190° = 360°

x = 360° - 190°

∴ x = 170°

✬ More to know -

Properties of a quadrilateral -

• A quadrilateral is a closed shape with 4 sides.

• The sum of all angles of a quadrilateral is 360°

Hope this helps uh! ♡