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Two angles of a quadrilateral measure 74° and 231°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

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Answer:

22° and 33°

Explanation:

the sum of the interior angles of a quadrilateral = 360°

the ratio of the other 2 angles = 2 : 3 = 2x : 5x ( x is a multiplier )

sum the 4 angles and equate to 360

2x + 3x + 74 + 231 = 360

5x + 305 = 360 ( subtract 305 from both sides )

5x = 55 ( divide both sides by 5 )

x = 11

then

2x = 2 × 11 = 22°

3x = 3 × 11 = 33°

the other 2 angles have a measure of 22° and 33°

User Jason Yandell
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