36.4k views
2 votes
AABC = ADEF. Find the measure of the given angles.mZA=X+22mZD = 2x

AABC = ADEF. Find the measure of the given angles.mZA=X+22mZD = 2x-example-1
User Brantgurga
by
3.2k points

1 Answer

0 votes

Solution:

Notice that


x\text{ + 22 = 2x}

this is equivalent to


2x\text{ -x = 22}

this is equivalent to:


x\text{ = 22}

replacing this value in the given equations for the angles, we can conclude that:


m\angle A\text{ = x+22 = 22+22 = 44}

and


m\angle D\text{ =2x = 2(22) = 44}

then, the correct answer is:


m\angle A\text{ =44}

and


m\angle D\text{ = 44}

User FodderZone
by
3.1k points