Question

Three of the angle of a quadrilateral are 65°90°,150° find the fourth angle

Answer 1

Answer:

Sum Of angles in a quadrilateral = 360

65 + 90 + 150 + x = 360

305 + x = 360

x = 55 Degrees

Answer 2

Concept

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.t is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

Given

1) Angles are 65°90°,150°

Find

The fourth angle

Solution

As we know that sum of interior angles of a quadrilateral is 360°

Let the fourth angle be x

x + 65 + 90 + 150 = 360

x + 65 + 240 = 360

x + 305 = 360

x = 55

Hence, the fourth angle of the quadrilateral is 55°

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