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Sagot :

Answer:

∠D = 52º

∠E = 32º

∠F = 96º

Step-by-step explanation:

the sum of interior angles of a triangle equals 180º

so: (x + 20) + (3x) + 32 = 180

     3x + x + 20 + 32 = 180                  combine like terms

     4x + 52 = 180                                subtract 52 from both sides

     4x = 128                                         divide both sides by 4

     x = 32

plug x into each angle measure to get them:

∠D = (32) + 20 = 52º

∠E = 32º (given)

∠F = 3(32) = 96º