Question

Measure the four angles 1,2,3,4 in each of the above figure and complete the table​

Answer 1

The ratio's of quadrilateral

1 : 2 : 3 : 4

To find :

Measure of each angle of

quadrilateral.

Let the measures of angles

be x, 2x, 3x, and 4x

\begin{gathered}\therefore x+2x+3x+4x=360^\circ\\\\\implies10x=360^\circ\\\\\implies x=\dfrac{360}{10}\\\\\impliesx=36^\circ\end{gathered}

∴x+2x+3x+4x=360

∘

⟹10x=360

∘

⟹x=

10

360

\impliesx=36

∘

Now we have the value of

'x' which is 36°

When we put the value of

'x' we get measure of all

angles of quadrilateral.

Let us do it,

Measure of angle First

= x = 36°

Measure of angle second

=2x

= 2 × 36

= 72°

Measure of angle third

= 3x

= 3 × 36

= 108°

Measure of angle fourth

= 4x

= 4 × 36

= 144°

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