We know that the sum of the angles in a quadrilateral is 360 degrees. We can use this fact to find the measure of the other two angles.
Let's call the measure of one of the angles x. Then the measure of the other angle is 11x/4 (since the two angles are in a ratio of 4:7).
We can set up an equation:
270 + 68 + x + 11x/4 = 360
Multiplying both sides by 4 to get rid of the fraction, we get:
1080 + 272 + 4x + 11x = 1440
Simplifying, we get:
15x = 88
x = 88/15
So one of the angles is approximately 5.87 degrees.
To find the measure of the other angle, we can plug x back into our equation:
11x/4 = 11(88/15)/4 = 22.53 degrees
Therefore, the two angles are approximately 5.87 degrees and 22.53 degrees.
A quadrilateral has two angles that measure 270° and 68°. The other two angles are in a ratio of 4:7. What are the measures of those two angles?
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