1 Answer

Lizhen Hu · Answer 1 · 2021-09-25T19:53:02+0000

Answer:

$m\angle WYX=46^o$

$m\angle YWX=63^o$

Explanation:

The complete question in the attached figure

we know that

A scalene triangle has three different interior angles and three different length sides

In this problem

$m\angle WYX=46^o$ ----> by vertical angles

$m\angle WXY=71^o$ ----> is given

Find the measure of the third angle ∠YWX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$46^o+71^o+m\angle YWX=180^o$

$m\angle YWX=180^o-117^o=63^o$

Verify each statement

1)
$m\angle WYX=46^o$ ---> is true (see explanation)

2)
$m\angle YWX=63^o$ ---> is true (see explanation)

3)
$m\angle WXY=46^o$ ---> is not true because ∠WXY is given and is 71 degrees

4)
$m\angle YWX=46^o$ ---> is not true because
$m\angle YWX=63^o$

5)
$m\angle WYX=134^o$ --> is not true because
$m\angle WYX=46^o$

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