There exist two supplementary angles such that one of them-is 30- and the other one-is two times some arbitrary-angle x- Find the value of x -in degrees-30-150-300-75-

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Addition and Subtraction of Angles

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Question

There exist two supplementary angles such that one of them is $30^{\circ}$ and the other one is two times some arbitrary angle x. Find the value of x (in degrees).

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150

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300

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Solution

The correct option is A 75
Two angles are called supplementary angles if their sum is 180 $^{\circ}$ .

So 30 $^{\circ}$ + 2x = 180 $^{\circ}$

Therefore, x = 75 $^{\circ}$

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There exist two supplementary angles such that one of them is 30∘ and the other one is two times some arbitrary angle x. Find the value of x (in degrees).

The correct option is A 75Two angles are called supplementary angles if their sum is 180∘. So 30∘ + 2x = 180∘ Therefore, x = 75∘

There exist two supplementary angles such that one of them is $30^{\circ}$ and the other one is two times some arbitrary angle x. Find the value of x (in degrees).

The correct option is A 75
Two angles are called supplementary angles if their sum is 180 $^{\circ}$ .

So 30 $^{\circ}$ + 2x = 180 $^{\circ}$

Therefore, x = 75 $^{\circ}$