Answer:
137°
Step-by-step explanation:
All angles in a triangle add up to 180° always.
Now imagine the two smaller shapes as a bigger triangle, CED. The measure of angle CED is 89°, and CDE is 48°. Do the math, and angle DCE is 43°.
But notice how the corresponding sides of the two smaller shapes are congruent. (CX=XE, and DY=YE) Meaning, the measure of angle C is equal to the measure of angle YXE.
We're almost there. CXY (what we're looking for) and YXE are supplementary angles, meaning the angle measures add up to 180. 180-43 = 137°.
