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3 years ago

A straight angle is split in the ratio 3:1:4. Find the measure of each angle.

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Answer: The angles are 67.5°, 22.5° and 90°.

Step-by-step explanation:

It should be noted that a straight angle is always equal to 180°.

The straight angle is split in the ratio 3:1:4.

The measure of each angle will be:

a. = 3/(3+1+4) × 180°

= 3/8 × 180°

= 67.5°

b. 1/8 × 180° = 22.5°

c. 4/8 × 180° = 90°

The angles are 67.5°, 22.5° and 90°.

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