Question

Q 12- if three angles of a quadrilateral are 50°,130°,120°, the fourth angle is
70°
50°
90°
60°

Answer 1

Answer:

the fourth angle of quadrilateral is 60 degree.

because sum of total angles of a quadrilateral is 360 degree.

sum of three angles of quadrilateral = 130+120+50

= 300

now, fourth angle = 360-300

= 60 degree

Answer 2

The fourth angle is 60°.

Given:

The three angles of a quadrilateral are 50°,130°, and 120°.

To Find:

The fourth angle.

Solution:

A quadrilateral is a closed shape and is a polygon with four faces, four vertices, and four interior angles.

The sum of the four interior angles of a quadrilateral is always 360°.

We have been given that the three angles of a quadrilateral are 50°,130°, and 120°.

Let us assume that the unknown angle is x.

Summation of all interior angles will give us 360°.

⇒ 50° + 130° + 120° + x = 360°

⇒ x = 360°- (50° + 130° + 120°) = 60°

∴ The fourth angle is 60°.

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