Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a ratio of 3:4. What is the value of x? What are the measures of those two angles?
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What are the measures of those two angles?

The measurements of the two angles are 60° and 80°.

Step-by-step explanation:

A quadrilateral is a shape that has four sides and the total angle is 360°. Two angles of a quadrilateral measure 140° and 80°.

This means the two angles have a total of (140° + 80°) = 220°. We can then subtract from 360° to know the value of the other remaining angles. This will be:

= 360° - 220°

= 140°

The other two angles are in the ratio of 3:4. This means the angles are:

(3/3+4) × 140° = 3/7 × 140° = 60°

(4/3+4) × 140° = 4/7 × 140° = 80°

The measurements of the two angles are 60° and 80°.