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Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll assume m∠1 and m∠2 are complementary angles. Angles that add up to 90° are called complementary angles. In this case, we know m∠1 and want to know m∠2. Thus, we can establish the following formula:
m∠1 + m∠2 = 90°
Isolating m∠2:
m∠2 = 90° - m∠1
m∠2 = 90° - 64
m∠2 = 26°
Answer:
tan (C) = 2.05
Step-by-step explanation:
Given:
A right angled triangle CDE right angled at ∠D.
Side CD = 39
Side DE = 80
Side CE = 89
We know, from trigonometric ratios that, the tangent of any angle is equal to the ratio of the opposite side to the angle and the adjacent side of the angle.
Therefore, tangent of angle C is given as:
Plug in the given values and solve for angle C.This gives,
Therefore, the measure of tangent of angle C is 2.05.