Question

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Answer 1

Answer:

$m\angle x=35^o$

Step-by-step 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

$m\angle x=35^o$