The sum of the two angles of a convex quadrilateral is 247. Find the sum of the other two angles.

It is known from the condition that the sum of two angles of a convex quadrilateral is 247 °. In order to find the sum of the other two angles of a given quadrilateral, we first of all recall the theorem on the sum of the angles of a quadrilateral.

So, the sum of the angles of a quadrilateral is 360 °.

So in order to find the sum of the degree measures of the other two angles of the quadrilateral, we must subtract the sum of the two angles known to us from 360 °.

We calculate:

360 ° – 247 ° = 113 °.

Answer: 113 ° is the sum of the other two angles of the quadrangle.



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