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The angel of quadrilateral are respectively 100°98°92°find the fourth angle |
Answer» ANSWER :
Explanation :We are given with the three angles of a quadrilateral, that is, We have to find out the fourth angle of a quadrilateral. ⠀_________________________Now, Let us assume that, the fourth angle of a quadrilateral is "x" We know that, if we are given with the three angles of a quadrilateral then we have the required formula, that is, ⠀ ⠀ → The sum of all four angles of a quadrilateral is 360°. This statement is known as 'angle sum property of a quadrilateral'. ⠀ ⠀ Substituting the given VALUES in the formula, ⇒ 100 + 98 + 92 + x = 360 ⇒ 198 + 92 + x = 360 ⇒ 290 + x = 360 ⇒ x = 360 - 290 ⇒ x = 70 Hence, the fourth angle of a quadrilateral is 70°. |
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