Answer:
100 degrees
Step-by-step explanation:
Angle 1 + Angle 2 = 180 degrees (linear pair theorem)
Angle 2 = Angle 6 (verticle angles theorem)
Thus, we can substitute the given values of angle one and angle six into the following equation:
Angle 1 + Angle 6 = 180
4x - 20 + 5x - 25 = 180
9x - 45 = 180
9x = 225
x = 25 degrees
Angle 2 = Angle 6
5x - 25 = Angle 6, so 5x - 25 = Angle 2
5(25) - 25 = Angle 2
100 degrees = Angle 2
Answer:
Interest!
Step-by-step explanation:
The term that is used for a fee that is paid for with the use of another person's money is called interest. Interest is based on some percentage on which the lender lends you money.
(I researched it earlier)
Answer:
Step-by-step explanation:
Given
The radius of the circle is
The area of the circle is given by
Insert the value of radius and get the area to play
Thus, the area to play is
<h3>
▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
We know that, Two angles are said to be complementary, if the sum of their measures is 90°.
<u>According to the Question</u>,
⇒ ∠ABD + ∠DBC = 90°
⇒ (2x + 30)° + (3x + 20)° = 90°
⇒ 2x + 30° + 3x + 20° = 90°
⇒ 5x + 50° = 90°
⇒ 5x = 90° - 50°
⇒ 5x = 40°
⇒ x = 40°/5
⇒ x = 8
<u>So</u>, <u>t</u><u>he measure of each angle will be</u>,
⇒ ∠ABD = (2x + 30)°
= 2 × 8 + 30°
= 16 + 30°
= 46°
⇒ ∠DBC = (3x + 20)°
= 3 × 8 + 30°
= 24 + 30°
<h3>
= 54° ▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>