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Igoryamba
3 years ago
15

Find m∠CXY Please help with this, this is for my test review!!!

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

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°.

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