Question

Suppose that COP and TOD are vertical angles, m COP = 11x - 17

and m TOD = 9x + 11.

Determine the Measure of COD
Determine the measure of POT

Answer 1

Explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP = m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°