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A quadrilateral has two angles that measure 310° and 15°. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

Question

A quadrilateral has two angles that measure 310° and 15°. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

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Solution

First, we need to know that the sum of all angles in a quadrilateral is 360°.

Given two angles are 310° and 15°, we can find the sum of these two angles:

310° + 15° = 325°

Subtract this from the total 360° to find the sum of the remaining two angles:

360° - 325° = 35°

The problem states that th

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