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enot [183]
3 years ago
14

Find the measure of the acute angle in a rhombus if its side makes with the diagonals angles such that one of them is three time

s larger than the other.
World Languages
1 answer:
vazorg [7]3 years ago
5 0

Answer:

Explanation:

A rhombus has 4 angles. Two obtuse that are equal and two acute that are equal. If all of the angles in a rhombus add up to 360°, then one acute and one obtuse must add up to half that: 180°.

The acute to obtuse angle ratio is 1:3. Think of this as four parts. One part acute, three parts obtuse.

180 ÷ 4 = 45

Therefore, The acute angle is 45°, and the obtuse angle is 135°

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