GIVEN :Cyclic QUADRILATERAL = WXYZThe MEASURE of angle Z is 10 more than twice the average of the measures of other three anglesThe measure of angle Z = ?Calculation :A quadrilateral will have 4 angles totaling 360 degrees.w + X + y + z =360We also know that z is 10 more than twice the average of the other 3 angles. z = 2 × (w + x + y)/3 +10w + x + y + 2 × (w + x + y)/3 +10 =3605/3 × (w + x + y) + 10 = 360 5/3 × (w + x + y) = 350 w + x + y = 210z = 360 - 210 = 150 ∴ The measure of angle z is 150 "> GIVEN :Cyclic QUADRILATERAL = WXYZThe MEASURE of angle Z is 10 more than twice the average of the measures of other three anglesThe measure of angle Z = ?Calculation :A quadrilateral will have 4 angles totaling 360 degrees.w + X + y + z =360We also know that z is 10 more than twice the average of the other 3 angles. z = 2 × (w + x + y)/3 +10w + x + y + 2 × (w + x + y)/3 +10 =3605/3 × (w + x + y) + 10 = 360 5/3 × (w + x + y) = 350 w + x + y = 210z = 360 - 210 = 150 ∴ The measure of angle z is 150 ">
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In cyclic quadrilateral WXYZ, the measure of angle Z is 10 more than twice the average of the measures of other three angles. The measure of angle Z, is:

SRMJEEE Analytical Geometry in SRMJEEE 9 months ago

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GIVEN :Cyclic QUADRILATERAL = WXYZThe MEASURE of angle Z is 10 more than twice the average of the measures of other three anglesThe measure of angle Z = ?Calculation :A quadrilateral will have 4 angles totaling 360 degrees.w + X + y + z =360We also know that z is 10 more than twice the average of the other 3 angles. z = 2 × (w + x + y)/3 +10w + x + y + 2 × (w + x + y)/3 +10 =3605/3 × (w + x + y) + 10 = 360 5/3 × (w + x + y) = 350 w + x + y = 210z = 360 - 210 = 150 ∴ The measure of angle z is 150
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Posted on 23 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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