Question

The, angle et a quadrilatorul varer
ratio 1.2.4. If the sum
of the angles
of quadrilates
a 360 deore Find the
measure of
a
each angle​

Answer 1

$\underline\bold{Correct \: Question:-}$

The, angles of the quadrilateral are in the ratio of 1 : 2 : 3 : 4. If the sum of the angles of quadrilateral a 360°. Find the measure of a each angle.

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$\underline\bold{To \: Find:-}$

• The measure of each angles

$\underline\bold{Given:-}$

• The angles are in the ratio of 1 : 2 : 3 : 4

$\underline\bold{solution:-}$

We know that a quadrilateral measures 360°

A . T . Q

Let the unknown angles be 1x , 2x , 3x and 4x

⟹ 3x + 1x + 2x + 4x = 360°

⟹ 10x = 360°

⟹ x = 360/10

⟹ x = 36°

step-by-step explanation:

The angles are :-

▪ 1st angle :-

= 1x = 36°

▪ 2nd angle :-

= 2x

= 2x × 36

= 72°

▪ 3rd angle :-

= 3x

= 3 × 36

= 108°

▪ 4th angle :-

= 4x

= 4 × 36

= 144°

$\underline\bold{Verification:-}$

⟹ 36° + 72° + 108° + 144° = 360°

⟹ 180° + 180° = 360°

⟹ 360° = 360°

L.H.S = R.H.S

hence, Proved

Required Answer

The angles of the quadrilateral are:-

• 36°
• 72°
• 108°
• 144°