Question

The angles of a quadrilateral are 54°,80°and106°fine the measure of the fourth angle.

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Answer 1

Given:-

Three angles of a quadrilateral

1st angle - 54⁰

2nd angle - 80⁰

3rd angle = 106⁰

To Find:-

Fourth angle of the quadrilateral.

Assumption:-

Let the fourth angle be x

Solution:-

According to angle sum property of a quadrilateral, the sum of all angles of a quadrilateral is always 360⁰

ATP,

1st angle + 2nd angle + 3rd angle + 4th angle = 360⁰

54⁰ + 80⁰ + 106⁰ + x = 360⁰

= 240 + x = 360⁰

=> x = 360⁰ - 240⁰

=> x = 120⁰

Therefore the 4th angle of the quadrilateral is 120⁰.

Answer 2

Answer:

The fourth angle is 120°.