Answer:
Interior Angle: 165°
Exterior Angle: 15°
Step-by-step explanation:
So first you have to find the sum of all interior angles of a polygon with <u>24 sides</u>. This can be found using the formula:
sum = ( <em>n</em> - 2 ) * 180° where '<em>n</em>' is the number of sides.
When '<em>n</em> = 24' then the sum is:
sum = ( 24 - 2 ) * 180°
Simplify and solve.
sum = 22 * 180°
sum = 3960°
Since there are 24 sides to the polygon, there are 24 interior angles. <u>Assuming that this polygon is equilateral</u>, you can surmise that:
<em>Interior Angle</em> = sum° / <em>n</em> where n is the number of sides,
3960° / 24 = 165° = Interior Angle
Using that information, and combine it with the [Supplementary Angles Theorem] the exterior angle can be found by:
165° + x = 180°
Solve for x.
Ten thousand your welcome
9 x 8 = 72
9 + 9 +9 + 9 + 9 +9 + 9 + 9 = 72
Answer:
∠D B C = 41°
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given ∠ABC = 90°
In diagram ∠D B C + ∠A B D = 90°
6 x+5 + 8 x +1 = 90
14 x + 6 = 90
14 x = 90 -6
14 x = 84
<em> x = 6</em>
<u><em>Step(ii):-</em></u>
∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41
<em>∠D B C = 41°</em>
<em> ∠A B D = 8(6) +1 = 49°</em>
<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>
Answer:
31.4 is the answer
Step-by-step explanation:
