Answer:
108 degrees
Step-by-step explanation:
x + 63 = 8x (vertically opposite angles)
7x = 63
x = 9
8x + angle1 = 180 (sum of angles on a straight line)
8(9) + angle1 = 180
angle1 = 180 - 8(9) = 108
<h3>
Answer: Choice C) Construct a tangent from an external point</h3>
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Explanation:
The idea is that you have some circle and a point outside the circle. This point is labeled M. The center of the circle is point O. A perpendicular bisector is constructed to segment OM, after which a compass is used to draw the arc marking to form point G. Line MG is perpendicular to the radius segment OG. Therefore, line MG is tangent to the circle and it goes through point M.
Answer:
x=2
Step-by-step explanation:
5x-5 = x+3
4x=8
x=2
Answer:
x=7/8
Step-by-step explanation:
3x+5x-7=0
=8x=7
x=7/8
Answer:
115°
Step-by-step explanation
A hexagon is a six sided polygon.
The total sum of internal angles in a hexagon is 720°
Given that this sum is equal to sum of six consecutive integers;
Lets write the 6 consecutive integers
m, m+2, m+4, m+6, m+8, m+10
Finding the sum
m+m+2+m+4+m+6+m+8+m+10=6m+30
Form equation
(6m+30)°=720°
6m=720°-30°
6m=690°
m=690°/6=115°
<u>Answer</u>
The smallest interior angle of the hexagon is 115°