Question

<J and <M are base angles of isosceles trapezoid JKLM. If m<J = 23x + 3, and m<M = 13x + 13, find m<K

a) 77
b) 1
c) 26
d) 154

anonymous · Answer

got a picture?

anonymous · Answer

No this is all it gave me. :|

anonymous · Answer

ok but if it is isosceles then base angles are equal right?

anonymous · Answer

the legs are congruent and we are solving for the base angle.

anonymous · Answer

base side*

anonymous · Answer

so angle J equals angle M and therefore we can solve for x via 
$$23x+3=13x+13$$
$$10x=10$$
$$x=1$$

anonymous · Answer

the base angles are therefore each 
$$26^0$$

anonymous · Answer

thats what i was looking for thankyou!

anonymous · Answer

the other two angles therefore are each 
$$180-23=157^o$$ if my memory serves.  they must add up to 180

anonymous · Answer

so wait what is the total answer like out of the choices?

anonymous · Answer

you are looking for angle K, one of the other angles. they are both 154 degrees

anonymous · Answer

Oh okay that makes sense. Thankyou very much!

anonymous · Answer

yw
btw not even chuck norris can handle this base drop