Answer: See explanation
Step-by-step explanation:
1.) There's an angle supplementary to m∠123°, that angle is y
y and m∠123° are supplementary since they're linear pairs
y + 123 = 180
Subtract both sides by 123
y = 57°
Now we know at least two angles of the triangle, x + y + m∠92° has to be 180° because they form a triangle.
x + y + m∠92° = 180°
x + 57 + 92 = 180
x + 149 = 180
Subtract both sides by 149
<em>x = 31°</em>
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2.) We have to figure out the missing angle in the triangle, that missing angle is once again, y.
y + 100 + 25 = 180
y + 125 = 180
y = 55°
x and y are supplementary angles because they form a straight line
x + y = 180°
x + 55 = 180
Subtract both sides by 55
<em>x = 125°</em>
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Hope I helped!