we know that
If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent
so
In this problem
m by corresponding angles
substitute the given values
2x+4=x+22
solve for x
2x-x=22-4
x=18
Find the value of y
we have that
m by corresponding angles
substitute the given values
8y-4=4y+28
solve for y
8y-4y=28+4
4y=32
y=8
Find the measure of angle Q (mREmember that
In any triangle the sum of the interior angles must be equal to 180 degrees
in this problem
we have that
therefore
substitute
