Question

5. tan three angles of a quadrilateral are 36º, 72", 108. Find the fourth angle
1M​

Answer 1

Question :-

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

Answer :-

• The fourth angle of the quadrilateral is 144°.

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 :-

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

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

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

$\sf \Rightarrow x = 144^{\circ}$

Therefore, 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.

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The fourth angle of the quadrilateral is 144°.

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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°

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