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Help due in an hour and I am confused

Help due in an hour and I am confused-example-1
User Halxinate
by
7.3k points

2 Answers

9 votes

Answer:

48 degree

Explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

User Afrendeiro
by
7.7k points
1 vote

Answer:

m∠DFG = 48°

Explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

Help due in an hour and I am confused-example-1
Help due in an hour and I am confused-example-2
Help due in an hour and I am confused-example-3
User Dharmaraj
by
8.4k points

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