Step-by-step explanation:
4x+2x+x+9x=16x
16x=2+5+4=11
x=11
<h3>
Answer: 6</h3>
Work Shown:
E = exterior angle = 60 degrees
n = number of sides of the regular polygon
n = 360/E
n = 360/60
n = 6
The regular polygon has 6 sides.
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
=
substitute the given values
=
sin (B) = Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
=
substitute the given values
=
c = SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle