Question

three angles of a quadrilateral are 36º, 72", 108. Find the fourth angle
​

Answer 1

To Find :-

• The fourth angle of the quadrilateral.

Solution :-

According to the question,

• The three angles of the quadrilateral are 36°, 72° and 108°.

Let the fourth angle be "x".

We know that,

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

So,

$\sf x + 36^{\circ} + 72^{\circ} + 108^{\circ} = 360^{\circ}$

$\sf :\Rightarrow x + 216^{\circ} = 360^{\circ}$

$\sf :\Rightarrow x = 360^{\circ} - 216^{\circ}$

$:\implies{\underline{\boxed{\frak{\pink{x =144^{\circ} }}}}}$

Hence,

• the fourth angle of the quadrilateral = 144°.

_________________________________

Answer 2

Step-by-step explanation:

‌$\huge{\underline{\bold{\blue{Question:⤵}}}}$

The three angles of a quadrilateral are 36°, 72° and 108°. Find the fourth angle.

‌$\huge{\underline{\bold{\red{Answer:⤵}}}}$

The fourth angle of the quadrilateral is 144°.

‌$\bold\green{▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀}$

Given :-

The three angles of the quadrilateral are 36°, 72° and 108°.

To find :-

⟼The fourth angle of the quadrilateral.

☇ Step-by-step explanation :-

➪The question has given us the three angles of a quadrilateral.

➪ We are asked to find the fourth angle.

➪Let the fourth angle be x.

⟼Sum of all the angles in a quadrilateral = 360°

⟼So, all these angles will add up to 360°

➪Therefore, we get :-

x°+ 36°+72°+108°= 360°

x°+ 216° = 360°

x°= 360°–216°

x° = 144°

Therefore, the fourth angle of the quadrilateral = 144°

‌$\bold\green{▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀}$