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Suppose that angle COP and angle TOD are vertical angles, the measure of angle COP is 11x-17 and The measure of angle TOD is 9x+11.

Part A: construct angle COP and angle TOD [Hint: angle COD is an adjacent angle to angle COP and angle POT is an adjacent angle to angle TOD.]

Part B: determine the measure of angle COD and the measure of angle POT.

Suppose That Angle COP And Angle TOD Are Vertical Angles The Measure Of Angle COP Is 11x17 And The Measure Of Angle TOD Is 9x11 Part A Construct Angle COP And A class=

Sagot :

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The measure of <COD  and <POT are 43 and 43degrees respectively

The point where two lines meet or intersect is known as an angle:

Is <COP and angle TOD are vertical angles, this means that they are equal i.e.

  • <COP = <TOD

Given that:

<COP = 11x - 17

<TOD = 9x + 11

Equate both expressions

11x - 17 = 9x + 11

11x - 9x = 11 + 17

2x = 28

x = 28/2

x = 14

Get <COP

<COP = 11x - 17

<COP = 11(14) - 17

<COP = 154-17

<COP = 137 degrees

Since <COP = <TOD, hence <TOD = 137 degrees

Calculate <COD:

<COD + <TOD = 180

<COD + 137 = 180

<COD = 180 - 137

<COD  = 43 degrees

Also <POT = <COD = 43degrees(vertically opposite angles)

Hence the measure of <COD  and <POT are 43 and 43degrees respectively

Learn more here: https://brainly.com/question/17247176

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