A quadrilateral has three acute angles each measures 80- What is the measure of fourth angle-

Sum of four angles of a quadrilateral = 360^∘ Sum of three angles having each angle equal to 80^∘= 80^∘× 3 = 240^∘ Let fourth angle=x Then 240^∘+x^∘=360^∘⇒ x^∘= ...

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Byju's Answer

Standard VIII

Mathematics

Angle Sum Property of a Polygon

A quadrilater...

Question

A quadrilateral has three acute angles each measures $80^{\circ}$ . What is the measure of fourth angle?

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Solution

Sum of four angles of a quadrilateral = $360^{\circ}$
Sum of three angles having each angle equal to $80^{\circ} = 80^{\circ} \times 3 = 240^{\circ}$
Let fourth angle=x Then $240^{\circ} + x^{\circ} = 360^{\circ} \Rightarrow x^{\circ} = 360^{\circ} - 240^{\circ}$ $x^{\circ} = 120^{\circ}$ $∴$ Fourth angle = $120^{\circ}$ Ans.

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A quadrilateral has three acute angles each measures 80∘. What is the measure of fourth angle?

Sum of four angles of a quadrilateral = 360∘ Sum of three angles having each angle equal to 80∘=80∘×3=240∘ Let fourth angle=x Then 240∘+x∘=360∘⇒x∘=360∘−240∘ x∘=120∘ ∴ Fourth angle = 120∘ Ans.

A quadrilateral has three acute angles each measures $80^{\circ}$ . What is the measure of fourth angle?