Question

three angle of quadrilateral are 90, 60 and 100 what is the measure of fourth angle
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Answer 1

• Fourth angle of quadrilateral is 110°.

Step-by-step explanation:

Given:-

• Three angles of quadrilateral are 90°, 60° and 100°.

To find:-

• Measure of fourth angle.

Solution:-

Let, Fourth angle of quadrilateral be x.

We know,

Sum of all interior angles of a quadrilateral is equal to 360°.

So,

$\longrightarrow$ 90° + 60° + 100° + x + 360°

$\longrightarrow$ 250° + x = 360°

$\longrightarrow$ x = 360° - 250°

$\longrightarrow$ x = 110°

Verification:-

$\longrightarrow$ 90° + 60° + 100° + x = 360°

• Put x = 110°

$\longrightarrow$ 90° + 60° + 100° + 110° = 360°

$\longrightarrow$ 360° = 360°

$\boxed{\sf Hence \: Verified.}$

Therefore,

Fourth angle of quadrilateral is 110°

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Read more about quadrilateral:-

Quadrilateral are those figures which have four sides.

Some quadrilaterals :-

• Rhombus - It's all sides are equal and it's diagonal bisect each other.
• Rectangle - It's opposite sides are equal and parallel.
• Parallelogram - It's opposite angles and sides are equal and parallel.
• Square - It's all sides are equal and parallel.
• Trapezium - It's one pair of opposite sides are parallel.
• Kite - It's two pair of adjacent sides are equal and Diagonals are perpendicular to each other.

Answer 2

Given :-

• Three angles of Quardilateral = 90⁰,60⁰,100⁰

To Find :-

Measure of fourth angle

Solution :-

As we know that sum of all angles of Quardilateral is 360⁰. This is also known as angle sum property.

Let the fourth angle be x

$\sf \: 90 \degree \: + 60\degree + 100 \degree + x\degree = 360\degree$

$\sf \: 150\degree + 100\degree + x\degree = 360\degree$

$\sf \: 250\degree + x\degree = 360\degree$

$\sf \: x\degree = 360\degree - 250\degree$

$\sf \: x = 110\degree$

Lets verify

$\sf \: 90 + 60 + 100 + 110 = 360$

$\sf \: 150 + 210 = 360$

$\sf \: 360 = 360$

Hence verified

And we are done :D