ABCD is a cyclic quadrilateral. If angle BCD = 100° and angle ABD = 70°, find angle ADB
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Answered by
2
Answer:
>BCD + ABD+ADB= 180°
>100°+70°+ADB=180°
>170°+ADB=180°
>ADB=180°-170°
>ADB=10°
Answered by
136
ABCD is a cyclic quadrilateral. If angle BCD = 100° and angle ABD = 70°, find angle ADB
Given:
ABCD is a cyclic quadrilateral
angle BCD = 100°
angle ABD = 70°
To find:
find angle ADB
Solution:
□ ABCD is a cyclic quadrilateral
We know that, sum of opposite angles is 180°
.°. Angle DAB + Angle BCD = 180°
⟹ Angle DAB + 100° = 180°
⟹ Angle DAB = 180° – 100°
.°. Angle DAB = 80°
Now,
We also know that,
the sum of all angles of a triangle is 180°
In ∆ ABD ,
⟹ Angle ADB + Angle DBA + Angel BAD = 180°
⟹ Angle ADB + 70° + 80° = 180°
⟹ Angle ADB = 180° – 80° – 70°
Therefore, angle ADB = 30°
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