The ANGLE BISECTOR mentioned in the problem is simply just a line that separates an angle in half.
Meaning if it bisects ∠SUT which is 34. It just means that it divides the angle 34 into 2 equal parts.
Therefore ∠1 is just one-half of the ∠SUT.

Therefore the measurement of ∠1 is 17°.
Answer:
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Step-by-step explanation:
1/3(a + b) = 60
a + b = 60 * 3 = 180
1/4(a - b) = 28
a - b = 28 * 4 = 112
a + b = 180
a - b = 112
---------------add
2a = 292
a = 292/2
a = 146
a + b = 180
146 + b = 180
b = 180 - 146
b = 34
so ur 2 angles are : 146 and 34