Answer:
J=63
Step-by-step explanation:
3b+27=2b+57
subtract 27 from both sides
3b=2b+30
subtract 2b from both sides
b=30
K+J=180
substitute the value of b into K
2(30)+57+J=180
117+J=180
subtract 117 from both sides
J=63
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Answer:
Step-by-step explanation:
If we take the below diagram for the given triangles, then ∠B=∠E and ∠A=∠G if AB=GE or if BC=EF, then corresponding angles will be equal.
Therefore, if we rotate the diagram, then also the angles will remain the same.
a. Pentagon
Interior angle:
5 sides => form 5 triangles => central angle: 360 / 5 = 72°
interior angle = 2x
angles in every triangle: x => x + x + 72° = 180°
=> 2x = 180° - 72° = 108°
Answer 108°
Exterior angles = 360° / number of sides = 360° / 5 = 72°
Answer: 72°
b. 16 - gon
Interior angles: 2x
number of triangles = 16
central angle = 360 / 16 = 22.5°
interior angle 2x, where 180° - 22.5° + x + x => 2x = 180° - 22.5° = 157.5°
Answer: interior angle 157.5°
Exterior angles: 360 / 16 = 22.5°
Answer: exterior angles = 22.5°
c. Dodecagon
number of sides 12
central angle = 360° / 12 = 30°
interior angle, 2x => 30 + 2x = 180 => 2x = 180 - 30 = 150°.
Answer: interior angle = 150°
Exterior angle = 360° / number of sides = 360° / 12 = 30°
Answer: exterior angle = 30°
Answer:
0
Step-by-step explanation:
dude anythign times 0 = 0