Question

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Answer 1

`m\angle x=35^o`

Explanation:

step 1

we know that

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

so

In the triangle ABC

we have

`42^o+103^o+m\angle C=180^o`

`m\angle C=180^o-145^o=35^o`

step 2

Find the measure of angle x

we know that

Segment BC is parallel to segment DE

so

`m\angle x=m\angle C` ----> by corresponding angles

therefore

`m\angle x=35^o`