Question

What is the value of x?

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x = °

Triangle A B C. The measure of angle A is fifty five degrees, the measure of angle B is eighty degrees and the measure of angle C is x.

Answer 1

`x=45^(o)`

Step by step explanation:

We have been given that measure of angle A is fifty five degrees, the measure of angle B is eighty degrees and the measure of angle C is x.

Since we know that sum of measures of all the three angles of any triangle equals to 180 degrees.

Let us set sum of measures of all angles of our triangle equal to 180 degrees.

`A+B+C=180^(o)`

Upon substituting our given values in our equation we will get,

`55^(o)+80^(o)+x=180^(o)`

`135^(o)+x=180^(o)`

`x=180^(o)-135^(o)`

`x=45^(o)`

Therefore, the measure of angle x equals to 45 degrees.