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Sladkaya [172]
3 years ago
12

- Trapezoid

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

- Trapezoid

The measures of three angles of a quadrilateral are 70, 125, and 89 degrees. Find the measure of the fourth one.

》The measure of the fourth one is 36°.

<h3>HOPE ITS HELP</h3>

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The correct answer is 95°.

To solve for n, you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures 180°, you can subtract the given values from 180° to find the measures of the respective supplementary interior angles. That would give you 59° (180-121) and 36° (180-144).

Now, knowing that the measure of all the interior angles of a triangle is also 180°, you can add the two interior angles you know (59+36) and subtract those from 180°. Doing so would give you the measure of the missing third angle, which is 85°.

Finally, because angle n is the supplementary angle of the missing angle from the previous step, simply subtract that angle's measure from 180° to find n°, which is 180-85 or 95°.
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