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madisonrendler1787
11.07.2021 •
Mathematics
Find diagram attached.
In the diagram attached find :
a.Angle BAC
b.Angle BDC
c. Angle BFE
d. Angle EBC
Solved
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Ответ:
a.Angle BAC=53°
b.Angle BDC=53°
c. Angle BFE=90°
d. Angle EBC=37°
Solution given:
<BOC+254°=360°[complete turn]
<BOC=360°-254°
<BOC=106°
now
<BAC=½ *<BOC[inscribed angle is half of central angle]
<BAC=½*106°=53°
again
<BDC=<BAC=53°
<BFE=90°[inscribed angle on a semi circle is 90°]
Now.
again in ∆BOC
<B=<C[base angle of isosceles triangle]
<B+<C+<O=180°[sum of interior angle of a triangle is 180°]
<C+<C+106°=180°
2C°=180°-106°
<C=74°/2
<C=37°
Ответ: