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Answer:
Step-by-step explanation:
Notice that angles <1 and <3 are opposed by the vertex, which makes them of equal measure, therefore, <1 = 47 degrees.
Notice as well that angles <1 and <2 combine into a straight line, therefore, they are supplementary angles whose addition gives 180 degrees then we can find the value of angle <2 via:
And finally, angle <4 is opposite through the vertex to angle <2, and therefore they must have the same measure. So, <4 = 133 degrees.