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Since 89° is less than 90°, it is acute.
Since 234° is greater than 180°, it is reflex.
Since 98° is greater than 90° but less than 180°, it is obtuse
Which is closest to the size of angle AOB?
Measuring from O (Alphabet) in the direction of the arrow, angle AOB = 57°
Which is closest to the size of angle COD?
Starting from O, and measuring in the direction of the arrow, angle COD = 131°
Which is closest to the size of reflex angle FOE?
Reflex Angle FOE can be split into two:
Angle FOE = Angle FOG + Angle GOE
Angle FOG is a straight angle
∴ ∠FOG= 180°. Now, starting from
O and measuring in the direction of the arrow
Angle GOE = 74°
So Reflex Angle FOE = Angle FOG +
Angle GOE = 180° + 74° = 254°
For the angle shown in the diagram, the arrow points to its :
The vertex (plural vertices) is a corner point of two rays.
By using the three letters on the shape that define the angle, angle α is written as:
The middle letter is where the angle actually is (its vertex), which is D.
Therefore we could write the angle as ∠BDA or ∠ADB.
By using the three letters on the shape that define the angle, angle b is written as:
The middle letter is where the angle actually is (its vertex), which is C.
Therefore we could write the angle as ∠BCD or ∠DCB.
If two acute angles are added together, which of the following is NOT possible for their sum:
An acute angle is less than 90°.
If you add two acute angles then
(i) the sum could be acute, example: 10° + 20° = 30° (an acute angle).
(ii) the sum could be right, example: 40° + 50° = 90° (a right angle).
(iii) the sum could be obtuse, example: 30° + 80° = 110° (an obtuse angle).
(iv) the sum could NOT be straight because each acute angle is less than 90° and a straight angle is 180°, example: 89° + 89° = 178° which is less than a straight angle.
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