Question

125

B
75
11. Find the measure of angle B.
12. Find x
I
13. Find y

Answer 1

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