Question

Please answer this question! Will give brainliest!

Answer 1

Step-by-step answer:

Angle ECF = 110 = angle of intercepted (minor) arc EF.

The inscribed angles (angles EDF and EHF) are equal to half the angle of the inscribed arc, namely 110/2 = 55 degrees.

For your information, an inscribed angle is an angle with its vertex on (circumference of) the circle, formed by two intersecting chords, with a base on the inscribed arc.

Answer 2

Answer:

m∠EHF = m∠EDF = 55°

Step-by-step explanation:

Look at the pictures.

(the picture 1)

Inscribed angle and central angle.

(the picture 2)

In a circle, central angle is two times larger than inscribed angle that intercept the same arc.

In a circle, inscribed angles that intercept the same arc are congruent.

We have the central angle C = 110°. The inscribed angle EHF is two times smaller than ∠C. Therefore m∠EHF = 110° : 2 = 55°.

The inscribed angles EHF and EDF that intercept the same arc. Therefore are congruent. m∠EHF = m∠EDF.