ANGLES of the QUADRILATERAL be 3x, 5x, 9x and 13X respectively.We know that,Sum of angles of a quadrilateral = 360o⇒ 3x + 5x + 9x + 13x = 360o⇒ 30x = 360o⇒ X = 12oThe largest angle = 13x = 13 × 12 = 156o∴ The largest angle = 156oSmart TrickAngles ratio = 3 : 5 : 9 : 13Hence, largest angle must be multiple of 13.In given options, only 156° is multiple of 13.∴ 156° is the CORRECT answer.

"> ANGLES of the QUADRILATERAL be 3x, 5x, 9x and 13X respectively.We know that,Sum of angles of a quadrilateral = 360o⇒ 3x + 5x + 9x + 13x = 360o⇒ 30x = 360o⇒ X = 12oThe largest angle = 13x = 13 × 12 = 156o∴ The largest angle = 156oSmart TrickAngles ratio = 3 : 5 : 9 : 13Hence, largest angle must be multiple of 13.In given options, only 156° is multiple of 13.∴ 156° is the CORRECT answer.

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If angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, find the largest angle?

SRMJEEE Analytical Geometry in SRMJEEE 9 months ago

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Let the ANGLES of the QUADRILATERAL be 3x, 5x, 9x and 13X respectively.We know that,Sum of angles of a quadrilateral = 360o⇒ 3x + 5x + 9x + 13x = 360o⇒ 30x = 360o⇒ X = 12oThe largest angle = 13x = 13 × 12 = 156o∴ The largest angle = 156oSmart TrickAngles ratio = 3 : 5 : 9 : 13Hence, largest angle must be multiple of 13.In given options, only 156° is multiple of 13.∴ 156° is the CORRECT answer.

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Posted on 24 Oct 2024, this text provides information on SRMJEEE related to Analytical Geometry in SRMJEEE. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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