For the given triangle, the tan of angle A equals 
Step-by-step explanation:
Step 1:
In the given triangle for angle A, the opposite side has a length of 6 cm, the adjacent side has a length of 8 cm while the hypotenuse of the triangle measures 10 cm. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
Step 2:
The opposite side's length = 6 cm.
The adjacent side's length = 8 cm.
Answer:
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Answer:
1. Angle Addition Postulate/Theorem
2. 90°
3. m<AOC; Vertical Angles
4. 90°; 110°
5. 20°
Step-by-step explanation:
1. m<DOB = m<DOE + m<BOE (Reason: Angle Addition Postulate/Theorem)
2. m<DOB = 90° + x (Reason: Substitution)
Note: m<DOE is a right angle.
3. m<DOB = m<AOC (Reasons: Vertical Angles)
4. 90° + x = 110° (Reasons: Substitution)
5. x = 20° (Reasons: Algebra)
Note how we got 20° by applying algebra:
90° + x = 110°
Subtract 90° from both sides
90° + x - 90° = 110° - 90°
x = 20°
