Question

A and B are vertical angles. If mA=(7x-20° and mB =(6x-1)º, find the
measure of A.

Answer 1

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Answer 2

`\angle A=113\textdegree`

Explanation:

We know that ∠A and ∠B are vertical angles.

Remember that vertical angles have the same measure. So:

`\angle A=\angle B`

Substitute them for their equations:

`7x-20=6x-1`

Solve for x. Add 20 to both sides:

`7x=6x+19`

Subtract 6x from both sides. So, the value of x is:

`x=19`

To find ∠A, we can use its equation again:

`\angle A=7x-20`

Substitute 19 for 7:

`\angle A=7(19)-20`

Multiply and subtract:

`\angle A=133-20=113\textdegree`

So, the value of ∠A is 113°.

And we're done!