Answer:
[tex]\angle 1 =47^o\\\angle 2 = 133^o\\\angle 4 = 133^o[/tex]
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:
[tex]\angle 1 + \angle 2 = 180^o\\47^o + \angle 2=180^o\\\angle 2 = 180^o-47^o\\\angle 2 =133^o[/tex]
And finally, angle <4 is opposite through the vertex to angle <2, and therefore they must have the same measure. So, <4 = 133 degrees.
