Question

Work out the size of angle DEF, You must give a reason for your answer (Angles are on the picture below)

Answer 1

Answer:

420°

Step-by-step explanation:

<DEF = 1/2 × 150°

<DEF = 75°

Answer 2

The measure of angle m<DEF is 75 degrees

The point where 2 lines meet is known as an angle.

• Angles in a circle are created from the intersection of two or more lines.

• To get the unknown value from the circle geometry given, we will use the theorem that states that "the angle at the centre of a circle is twice the angle at the circumference"

Angle at the centre = 150 degrees

Angle at the circumference = m<DEF

Using the theorem;

150 = 2m<DEF

m<DEF = 150/2

m<DEF = 75degrees

Hence the measure of angle m<DEF is 75 degrees

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