Question

Three angles of a quadrilateral are 75°, 90° and 75°, then find the fourth angle.

Answer 1

Answer:

75+90+75+x=360

x=360-240

x=60

This is the fourth angle

Answer 2

Given :-

• Three angles of a quadrilateral are 75°, 90° and 75°

To Find :-

• Fourth of a quadrilateral

Solution :-

Let the fourth angle be x°

As we know that,

By angle sum property sum of all angles of a quadrilateral is 360°

$\small{\boxed{\bf{\star \:∠A + ∠B + ∠C + ∠D = 360°\: \star}}}$

By Substituting values we get,

$\sf{\implies 75° + 90° + 75° + x° = 360°}$

$\sf{\implies x° = 360° - (75° + 90° + 75°)}$

$\sf{\implies x° = 360° - 240°}$

$\sf\red{\implies x° =120°}$

Hence, The fourth angle of a quadrilateral is 120°