angle A minus Angle B equal to 30 degree and Angle B minus angle c equal to 15 degree what is Angle B
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Answered by
5
Answer:
LB = 55°
Step-by-step explanation:
LA - LB = 30°
LA = LB + 30°
LB - LC = 15°
LC = LB - 15°
If it is a triangle then by angle sum property
LA + LB + LC = 180°
LB + 30° + LB + LB - 15° = 180°
3LB + 15° = 180°
3LB = 180° - 15°
3LB = 165°
LB = 55°
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Answered by
2
According to the question;
- A - B = 30°. .....(1). B = A-30. .........(3)
- B - C = 15°. ........(2). B = 15 - C. ..........(4)
FROM (1)+(2);
A-C = 45°. ........(5)
FROM (3)+(4);
- 2B = A - 30 + 15 - C
- 2B = (A-C) -15
- 2B = (45) - 15
- 2B = 30
- B = 15°
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