Question

The figure shows ∠GOF drawn with a protractor. What type of angle is it and what is its measure?

A. Obtuse; 145°
B. Acute; 120°
C. Obtuse; 135°
D. Obtuse; 120°

Answer 1

Answer

D. Obtuse; 120°

Explanation

A protractor is a mathematical instrument that is used to measure angles.

Obtuse ⇒ Is an angle greater than 90° but less than 180°

Acute ⇒ Is an angle less than 90°.

∴  ∠GOF is and obtuse angle

   ∠GOF = 135 - 15

                 = 120°

Answer 2

Answer : D. Obtuse; 120°

The figure shows ∠GOF drawn with a protractor.

From the given figure

Angle G = 15 degrees

Angle F = 135 degrees

The difference between angle F  and angle G is the∠GOF

∠GOF = ∠F - ∠G = 135 - 15 = 120 degrees

When the angle is less than 90 degree then it is called as acute angle

When the angle is greater than 90 degree then it is called as obtuse angle

120 degree is greater than 90. so it is an obtuse angle