A triangle has angle measures of 42°, 51°, and $x$ °. What is $x$ ?

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Answer 1 · 2016-01-27T17:40:20

$x=87$

The measure of three angles of the given triangle are $42^@$ , $51^@$ and $x^@$ .

We know that the sum of all the angles of any triangle is $180^@$

$implies 42^@+51^@+x^@=180^@$

$implies x^@=180^@-(42^@+51^@)=180^@-93^@=87^@$

$implies x^@=87^@$

$implies x=87$

A triangle has angle measures of 42°, 51°, and xx°. What is xx?