The three angles of a quadrilateral are 80 deg- 70 deg- and 120 deg- The fourth angle is-a- 110 deg-b- 100 deg-c- 90 deg-d- 80 deg-

(c) 90 deg;The three angles of a quadrilateral are 80 deg;, 70 deg; and 120 deg;.Let the fourth angle be x.We know that the sum of all the angles of a q ...

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The three angles of a quadrilateral are 80°, 70° and 120°. The fourth angle is
(a) 110°
(b) 100°
(c) 90°
(d) 80°

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Solution

(c) 90°

The three angles of a quadrilateral are 80°, 70° and 120°.
Let the fourth angle be x.
We know that the sum of all the angles of a quadrilateral is 360°.
80° + 70° + 120° + x = 360°
⇒ 270° + x = 360°
⇒ x = 360° − 270°
⇒ x = 90°
Thus, the fourth angle is 90°.

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The three angles of a quadrilateral are 80°, 70° and 120°. The fourth angle is (a) 110° (b) 100° (c) 90° (d) 80°

(c) 90°The three angles of a quadrilateral are 80°, 70° and 120°.Let the fourth angle be x.We know that the sum of all the angles of a quadrilateral is 360°. 80° + 70°​ + 120° + x = 360°​ ⇒ 270°​ + x = 360°​ ⇒ x = 360° − 270°​ ⇒ x = 90°Thus, the fourth angle is 90°.

The three angles of a quadrilateral are 80°, 70° and 120°. The fourth angle is
(a) 110°
(b) 100°
(c) 90°
(d) 80°

(c) 90°

The three angles of a quadrilateral are 80°, 70° and 120°.
Let the fourth angle be x.
We know that the sum of all the angles of a quadrilateral is 360°.
80° + 70° + 120° + x = 360°
⇒ 270° + x = 360°
⇒ x = 360° − 270°
⇒ x = 90°
Thus, the fourth angle is 90°.