Answer:
3rd option and 2nd option
Explanation:
(10)
A linear pair sum to 180° , then
x - 30 + x + 76 = 180 , that is
2x + 46 = 180 ( subtract 46 from both sides )
2x = 134 ( divide both sides by 2 )
x = 67
Then
∠ 1 = x - 30 = 67 - 30 = 37°
∠ 2 = x + 76 = 67 + 76 = 143°
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(11)
Since T is the midpoint of SU , then
ST = TU , that is
5x = 3x + 32 ( subtract 3x from both sides )
2x = 32 ( divide both sides by 2 )
x = 16
Then
ST = 5x = 5(16) = 80
TU = 3x + 32 = 3(16) + 32 = 48 + 32 = 80
SU = 5x + 3x + 32 = 8x + 32 = 8(16) + 32 = 128 + 32 = 160