help pls math question std 9
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Answer:
ANGLE ADB = 95°
AND
ANGLE ADC=85°
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Answered by
1
Answer:
Given
Angle B= 70°
Angle C= 80°
By angle sum property of a triangle
Angle A+ Angle B+ Angle C= 180°
Angle A+ 70°+80°= 180°
Angle A+150°= 180°
Angle A= 180°-150°=30°
Since, AD is bisector of Angle A
Therefore, Angle BAD= Angle CAD= 30°/2= 15°
In ∆ADB,
Angle B+ Angle ADB+ Angle BAD= 180°
70°+Angle ADB+ 15°= 180°
Angle ADB+ 85°= 180°
Angle ADB= 180°-85°= 95°
In ∆ADC,
Angle C+ Angle ADC+ Angle CAD= 180°
80°+Angle ADC+ 15°= 180°
Angle ADC+ 95°= 180°
Angle ADC= 180°-95°=85°
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