
Angle a = 39°
Angle c = 123°

The measure of angle b.

∠ b = 18°

We know that,

➪ ∠ a + ∠ b + ∠ c = 180°
➪ 39° + ∠ b + 123° = 180°
➪ ∠ b + 162° = 180°
➪ ∠ b = 180° - 162°
➪ ∠ b = 18°
Therefore, the measure of ∠ b is 18°.

∠ a + ∠ b + ∠ c = 180°
✒ 39° + 18° + 123° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.


Answer:
First notice that θ is in quadrant I, where the sine and tangent will also be positive.
Then draw the angle in quadrant I. Drop a perpendicular to the x axis.
Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.
Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7
Step-by-step explanation:
Answer:
1578/1
Step-by-step explanation:
Because, it would still simplify to 1578.
Im not for sure on this but i would say DF is 13