Question

If three angle of a quadrilateral are 90,100,110 then find the measure of fourth angle

Answer 1

Answer:

60°

Step-by-step explanation:

Sum of all angles should be 360°

So, fourth angle is

=360°-(90°+100°+110°)

=360°-300°

=60°

Answer 2

Answer :-

• The fourth angle of the quadrilateral is 60°.

Given :-

• The three angles of a quadrilateral are 90°, 100° and 110°.

To find :-

• The fourth angle of the quadrilateral.

Step-by-step explanation :-

Let the fourth angle of the quadrilateral be "x".

We know that :-

$\underline{ \boxed{ \sf Sum \: of \: all \: angles \: in \: a \: quadrilateral = 360^{\circ}}}$

Here,

• First angle = 90°.
• Second angle = 100°.
• Third angle = 110°.
• Fourth angle = x.

Now,

• The sum of all these angles must be equal to 360°.

-------------------------------------

Therefore,

$\longmapsto\tt90^{ \circ} + 100^{ \circ} + 110^{ \circ} + x = 360^{ \circ}$

$\longmapsto\tt300^{ \circ} + x = 360^{ \circ}$

$\longmapsto\tt x = 360^{ \circ} - 300^{ \circ}$

$\longmapsto \overline{\boxed{\tt x = 60^{ \circ}}}$

Hence,

• The fourth angle of the quadrilateral = 60°.

-----------------------------------------------------------

Know more :-

What is a quadrilateral?

• A quadrilateral is a closed figure which has four sides.

More formulae :-

• Perimeter of a quadrilateral = Sum of all sides.

• Sum of all angles in a quadrilateral = 360°.