125
B
75
11. Find the measure of angle B.
12. Find x
I
13. Find y
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Answer:
According to triangle theorems, all the interior angles are equal to 180°. Since we know that angles A and C are 75° and 90°, angle B will equal 180° - 75° + 90° = 15°
We can use the sine of angle A to find x,
Sin75° = 125/x
Sin75°(x) = 125/x(x)
Sin75°(x)/sin75° = 125/sin75°
x = approximately 129.4
To find y, we can use the tangent of angle B:
Tan15° = y/125
Tan15°(125) = y/125(125)
Tan15°(125) = y
y = approximately 33.5