Question

Line AB and CD intersect at O. If angle AOC =(3x - 10) and angle BOD= ( 20- 2x) , then the value of x , is

Answer 1

Answer:

6

Step-by-step explanation:

3x - 10 = 20 - 2x

5x = 30

x = 6

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Answer 2

Given,

$\[\begin{array}{l}\angle AOC = \left( {3x - 10} \right)\\\angle BOD = \left( {20 - 2x} \right)\end{array}\]$

Solution,

Know that the opposite angle of two intersecting lines are equal.

When two lines AB and CD intersect, then angle AOC and angle BOD are equal.

$\[\begin{array}{l}\angle AOC = \angle BOD\\ \Rightarrow 3x - 10 = 20 - 2x\\ \Rightarrow 5x = 30\\ \Rightarrow x = 6\end{array}\]$

Hence the value of x is 6.